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Finding the Fourth Proportional to 580.04, 870.12 and 458.13

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Solution

The fourth proportional to 580.04, 870.12 and 458.13 is: 687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.04 : 870.12 = 458.13 : x
  2. Step 2: Convert to fraction form
    580.04/870.12 = 458.13/x
  3. Step 3: Cross multiply
    580.04x = 870.12 × 458.13
  4. Step 4: Simplify right side
    580.04x = 398,628.08
  5. Step 5: Solve for x
    x = 398,628.08/580.04
  6. Step 6: Final answer
    x = 687.25

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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.