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Finding the Fourth Proportional to 531.74, 734.16 and 407.18

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Solution

The fourth proportional to 531.74, 734.16 and 407.18 is: 562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.74 : 734.16 = 407.18 : x
  2. Step 2: Convert to fraction form
    531.74/734.16 = 407.18/x
  3. Step 3: Cross multiply
    531.74x = 734.16 × 407.18
  4. Step 4: Simplify right side
    531.74x = 298,929.56
  5. Step 5: Solve for x
    x = 298,929.56/531.74
  6. Step 6: Final answer
    x = 562.18

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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.