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Finding the Fourth Proportional to 532.04, 734.04 and 345.60

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Solution

The fourth proportional to 532.04, 734.04 and 345.60 is: 476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.04 : 734.04 = 345.60 : x
  2. Step 2: Convert to fraction form
    532.04/734.04 = 345.60/x
  3. Step 3: Cross multiply
    532.04x = 734.04 × 345.60
  4. Step 4: Simplify right side
    532.04x = 253,684.22
  5. Step 5: Solve for x
    x = 253,684.22/532.04
  6. Step 6: Final answer
    x = 476.81

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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.