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Finding the Fourth Proportional to 609.60, 909.02 and 592.22

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Solution

The fourth proportional to 609.60, 909.02 and 592.22 is: 883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.60 : 909.02 = 592.22 : x
  2. Step 2: Convert to fraction form
    609.60/909.02 = 592.22/x
  3. Step 3: Cross multiply
    609.60x = 909.02 × 592.22
  4. Step 4: Simplify right side
    609.60x = 538,339.82
  5. Step 5: Solve for x
    x = 538,339.82/609.60
  6. Step 6: Final answer
    x = 883.10

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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.