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Finding the Fourth Proportional to 525, 788.40 and 497.64

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Solution

The fourth proportional to 525, 788.40 and 497.64 is: 747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525 : 788.40 = 497.64 : x
  2. Step 2: Convert to fraction form
    525/788.40 = 497.64/x
  3. Step 3: Cross multiply
    525x = 788.40 × 497.64
  4. Step 4: Simplify right side
    525x = 392,339.38
  5. Step 5: Solve for x
    x = 392,339.38/525
  6. Step 6: Final answer
    x = 747.31

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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.