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Finding the Fourth Proportional to 538.07, 805.88 and 525.92

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Solution

The fourth proportional to 538.07, 805.88 and 525.92 is: 787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.07 : 805.88 = 525.92 : x
  2. Step 2: Convert to fraction form
    538.07/805.88 = 525.92/x
  3. Step 3: Cross multiply
    538.07x = 805.88 × 525.92
  4. Step 4: Simplify right side
    538.07x = 423,825.69
  5. Step 5: Solve for x
    x = 423,825.69/538.07
  6. Step 6: Final answer
    x = 787.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.