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Finding the Fourth Proportional to 673.64, 929.28 and 411.20

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Solution

The fourth proportional to 673.64, 929.28 and 411.20 is: 567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.64 : 929.28 = 411.20 : x
  2. Step 2: Convert to fraction form
    673.64/929.28 = 411.20/x
  3. Step 3: Cross multiply
    673.64x = 929.28 × 411.20
  4. Step 4: Simplify right side
    673.64x = 382,119.94
  5. Step 5: Solve for x
    x = 382,119.94/673.64
  6. Step 6: Final answer
    x = 567.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.