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Finding the Fourth Proportional to 580.34, 869.42 and 522.74

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Solution

The fourth proportional to 580.34, 869.42 and 522.74 is: 783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.34 : 869.42 = 522.74 : x
  2. Step 2: Convert to fraction form
    580.34/869.42 = 522.74/x
  3. Step 3: Cross multiply
    580.34x = 869.42 × 522.74
  4. Step 4: Simplify right side
    580.34x = 454,480.61
  5. Step 5: Solve for x
    x = 454,480.61/580.34
  6. Step 6: Final answer
    x = 783.13

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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.