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Finding the Fourth Proportional to 537.93, 740.73 and 525.81

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Solution

The fourth proportional to 537.93, 740.73 and 525.81 is: 724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.93 : 740.73 = 525.81 : x
  2. Step 2: Convert to fraction form
    537.93/740.73 = 525.81/x
  3. Step 3: Cross multiply
    537.93x = 740.73 × 525.81
  4. Step 4: Simplify right side
    537.93x = 389,483.24
  5. Step 5: Solve for x
    x = 389,483.24/537.93
  6. Step 6: Final answer
    x = 724.04

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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.