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Finding the Fourth Proportional to 731.08, 1,008.93 and 416.35

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Solution

The fourth proportional to 731.08, 1,008.93 and 416.35 is: 574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.08 : 1,008.93 = 416.35 : x
  2. Step 2: Convert to fraction form
    731.08/1,008.93 = 416.35/x
  3. Step 3: Cross multiply
    731.08x = 1,008.93 × 416.35
  4. Step 4: Simplify right side
    731.08x = 420,068.01
  5. Step 5: Solve for x
    x = 420,068.01/731.08
  6. Step 6: Final answer
    x = 574.59

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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.