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Finding the Fourth Proportional to 537.50, 740.88 and 406.28

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Solution

The fourth proportional to 537.50, 740.88 and 406.28 is: 560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.50 : 740.88 = 406.28 : x
  2. Step 2: Convert to fraction form
    537.50/740.88 = 406.28/x
  3. Step 3: Cross multiply
    537.50x = 740.88 × 406.28
  4. Step 4: Simplify right side
    537.50x = 301,006.58
  5. Step 5: Solve for x
    x = 301,006.58/537.50
  6. Step 6: Final answer
    x = 560.01

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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.