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Finding the Fourth Proportional to 585.91, 877.49 and 464.25

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Solution

The fourth proportional to 585.91, 877.49 and 464.25 is: 695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.91 : 877.49 = 464.25 : x
  2. Step 2: Convert to fraction form
    585.91/877.49 = 464.25/x
  3. Step 3: Cross multiply
    585.91x = 877.49 × 464.25
  4. Step 4: Simplify right side
    585.91x = 407,377.44
  5. Step 5: Solve for x
    x = 407,377.44/585.91
  6. Step 6: Final answer
    x = 695.29

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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.