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Finding the Fourth Proportional to 525.03, 724.80 and 406.74

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Solution

The fourth proportional to 525.03, 724.80 and 406.74 is: 561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.03 : 724.80 = 406.74 : x
  2. Step 2: Convert to fraction form
    525.03/724.80 = 406.74/x
  3. Step 3: Cross multiply
    525.03x = 724.80 × 406.74
  4. Step 4: Simplify right side
    525.03x = 294,805.15
  5. Step 5: Solve for x
    x = 294,805.15/525.03
  6. Step 6: Final answer
    x = 561.50

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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.