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Finding the Fourth Proportional to 531.42, 734.04 and 406.32

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Solution

The fourth proportional to 531.42, 734.04 and 406.32 is: 561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.42 : 734.04 = 406.32 : x
  2. Step 2: Convert to fraction form
    531.42/734.04 = 406.32/x
  3. Step 3: Cross multiply
    531.42x = 734.04 × 406.32
  4. Step 4: Simplify right side
    531.42x = 298,255.13
  5. Step 5: Solve for x
    x = 298,255.13/531.42
  6. Step 6: Final answer
    x = 561.24

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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.