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Finding the Fourth Proportional to 675.08, 930.96 and 412.76

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Solution

The fourth proportional to 675.08, 930.96 and 412.76 is: 569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.08 : 930.96 = 412.76 : x
  2. Step 2: Convert to fraction form
    675.08/930.96 = 412.76/x
  3. Step 3: Cross multiply
    675.08x = 930.96 × 412.76
  4. Step 4: Simplify right side
    675.08x = 384,263.05
  5. Step 5: Solve for x
    x = 384,263.05/675.08
  6. Step 6: Final answer
    x = 569.21

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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.