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Finding the Fourth Proportional to 523.34, 788.40 and 497.87

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Solution

The fourth proportional to 523.34, 788.40 and 497.87 is: 750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.34 : 788.40 = 497.87 : x
  2. Step 2: Convert to fraction form
    523.34/788.40 = 497.87/x
  3. Step 3: Cross multiply
    523.34x = 788.40 × 497.87
  4. Step 4: Simplify right side
    523.34x = 392,514.90
  5. Step 5: Solve for x
    x = 392,514.90/523.34
  6. Step 6: Final answer
    x = 750.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.