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Finding the Fourth Proportional to 581.25, 801.64 and 424.44

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Solution

The fourth proportional to 581.25, 801.64 and 424.44 is: 585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.25 : 801.64 = 424.44 : x
  2. Step 2: Convert to fraction form
    581.25/801.64 = 424.44/x
  3. Step 3: Cross multiply
    581.25x = 801.64 × 424.44
  4. Step 4: Simplify right side
    581.25x = 340,248.08
  5. Step 5: Solve for x
    x = 340,248.08/581.25
  6. Step 6: Final answer
    x = 585.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.