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Finding the Fourth Proportional to 585.47, 879.42 and 464.57

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Solution

The fourth proportional to 585.47, 879.42 and 464.57 is: 697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.47 : 879.42 = 464.57 : x
  2. Step 2: Convert to fraction form
    585.47/879.42 = 464.57/x
  3. Step 3: Cross multiply
    585.47x = 879.42 × 464.57
  4. Step 4: Simplify right side
    585.47x = 408,552.15
  5. Step 5: Solve for x
    x = 408,552.15/585.47
  6. Step 6: Final answer
    x = 697.82

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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.