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Finding the Fourth Proportional to 531.65, 733.16 and 345.19

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Solution

The fourth proportional to 531.65, 733.16 and 345.19 is: 476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.65 : 733.16 = 345.19 : x
  2. Step 2: Convert to fraction form
    531.65/733.16 = 345.19/x
  3. Step 3: Cross multiply
    531.65x = 733.16 × 345.19
  4. Step 4: Simplify right side
    531.65x = 253,074.11
  5. Step 5: Solve for x
    x = 253,074.11/531.65
  6. Step 6: Final answer
    x = 476.02

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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.