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Finding the Fourth Proportional to 580.70, 870.41 and 459.10

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Solution

The fourth proportional to 580.70, 870.41 and 459.10 is: 688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 870.41 = 459.10 : x
  2. Step 2: Convert to fraction form
    580.70/870.41 = 459.10/x
  3. Step 3: Cross multiply
    580.70x = 870.41 × 459.10
  4. Step 4: Simplify right side
    580.70x = 399,605.23
  5. Step 5: Solve for x
    x = 399,605.23/580.70
  6. Step 6: Final answer
    x = 688.14

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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.