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Finding the Fourth Proportional to 581.58, 802.10 and 424.04

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Solution

The fourth proportional to 581.58, 802.10 and 424.04 is: 584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.58 : 802.10 = 424.04 : x
  2. Step 2: Convert to fraction form
    581.58/802.10 = 424.04/x
  3. Step 3: Cross multiply
    581.58x = 802.10 × 424.04
  4. Step 4: Simplify right side
    581.58x = 340,119.53
  5. Step 5: Solve for x
    x = 340,119.53/581.58
  6. Step 6: Final answer
    x = 584.82

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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.