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Finding the Fourth Proportional to 581.70, 802.40 and 457.17

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Solution

The fourth proportional to 581.70, 802.40 and 457.17 is: 630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.70 : 802.40 = 457.17 : x
  2. Step 2: Convert to fraction form
    581.70/802.40 = 457.17/x
  3. Step 3: Cross multiply
    581.70x = 802.40 × 457.17
  4. Step 4: Simplify right side
    581.70x = 366,830.92
  5. Step 5: Solve for x
    x = 366,830.92/581.70
  6. Step 6: Final answer
    x = 630.62

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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.