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Finding the Fourth Proportional to 522.01, 780.84 and 374.83

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Solution

The fourth proportional to 522.01, 780.84 and 374.83 is: 560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.01 : 780.84 = 374.83 : x
  2. Step 2: Convert to fraction form
    522.01/780.84 = 374.83/x
  3. Step 3: Cross multiply
    522.01x = 780.84 × 374.83
  4. Step 4: Simplify right side
    522.01x = 292,680.31
  5. Step 5: Solve for x
    x = 292,680.31/522.01
  6. Step 6: Final answer
    x = 560.68

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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.