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Finding the Fourth Proportional to 581.05, 870.20 and 458.49

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Solution

The fourth proportional to 581.05, 870.20 and 458.49 is: 686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.05 : 870.20 = 458.49 : x
  2. Step 2: Convert to fraction form
    581.05/870.20 = 458.49/x
  3. Step 3: Cross multiply
    581.05x = 870.20 × 458.49
  4. Step 4: Simplify right side
    581.05x = 398,975.71
  5. Step 5: Solve for x
    x = 398,975.71/581.05
  6. Step 6: Final answer
    x = 686.65

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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.