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Finding the Fourth Proportional to 522.97, 787.95 and 473.62

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Solution

The fourth proportional to 522.97, 787.95 and 473.62 is: 713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.97 : 787.95 = 473.62 : x
  2. Step 2: Convert to fraction form
    522.97/787.95 = 473.62/x
  3. Step 3: Cross multiply
    522.97x = 787.95 × 473.62
  4. Step 4: Simplify right side
    522.97x = 373,188.88
  5. Step 5: Solve for x
    x = 373,188.88/522.97
  6. Step 6: Final answer
    x = 713.60

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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.