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Finding the Fourth Proportional to 581.96, 802.36 and 424.82

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Solution

The fourth proportional to 581.96, 802.36 and 424.82 is: 585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.96 : 802.36 = 424.82 : x
  2. Step 2: Convert to fraction form
    581.96/802.36 = 424.82/x
  3. Step 3: Cross multiply
    581.96x = 802.36 × 424.82
  4. Step 4: Simplify right side
    581.96x = 340,858.58
  5. Step 5: Solve for x
    x = 340,858.58/581.96
  6. Step 6: Final answer
    x = 585.71

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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.