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Finding the Fourth Proportional to 581.75, 802.33 and 424.94

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Solution

The fourth proportional to 581.75, 802.33 and 424.94 is: 586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.75 : 802.33 = 424.94 : x
  2. Step 2: Convert to fraction form
    581.75/802.33 = 424.94/x
  3. Step 3: Cross multiply
    581.75x = 802.33 × 424.94
  4. Step 4: Simplify right side
    581.75x = 340,942.11
  5. Step 5: Solve for x
    x = 340,942.11/581.75
  6. Step 6: Final answer
    x = 586.06

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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.