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Finding the Fourth Proportional to 523.47, 788.70 and 474.12

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Solution

The fourth proportional to 523.47, 788.70 and 474.12 is: 714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.47 : 788.70 = 474.12 : x
  2. Step 2: Convert to fraction form
    523.47/788.70 = 474.12/x
  3. Step 3: Cross multiply
    523.47x = 788.70 × 474.12
  4. Step 4: Simplify right side
    523.47x = 373,938.44
  5. Step 5: Solve for x
    x = 373,938.44/523.47
  6. Step 6: Final answer
    x = 714.35

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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.