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Finding the Fourth Proportional to 522, 778.92 and 473.52

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Solution

The fourth proportional to 522, 778.92 and 473.52 is: 706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 778.92 = 473.52 : x
  2. Step 2: Convert to fraction form
    522/778.92 = 473.52/x
  3. Step 3: Cross multiply
    522x = 778.92 × 473.52
  4. Step 4: Simplify right side
    522x = 368,834.20
  5. Step 5: Solve for x
    x = 368,834.20/522
  6. Step 6: Final answer
    x = 706.58

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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.