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Finding the Fourth Proportional to 674.48, 931.12 and 412.64

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Solution

The fourth proportional to 674.48, 931.12 and 412.64 is: 569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.48 : 931.12 = 412.64 : x
  2. Step 2: Convert to fraction form
    674.48/931.12 = 412.64/x
  3. Step 3: Cross multiply
    674.48x = 931.12 × 412.64
  4. Step 4: Simplify right side
    674.48x = 384,217.36
  5. Step 5: Solve for x
    x = 384,217.36/674.48
  6. Step 6: Final answer
    x = 569.65

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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.