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Finding the Fourth Proportional to 529.88, 788.10 and 524.12

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Solution

The fourth proportional to 529.88, 788.10 and 524.12 is: 779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.88 : 788.10 = 524.12 : x
  2. Step 2: Convert to fraction form
    529.88/788.10 = 524.12/x
  3. Step 3: Cross multiply
    529.88x = 788.10 × 524.12
  4. Step 4: Simplify right side
    529.88x = 413,058.97
  5. Step 5: Solve for x
    x = 413,058.97/529.88
  6. Step 6: Final answer
    x = 779.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.