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Finding the Fourth Proportional to 580.98, 802.61 and 457.46

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Solution

The fourth proportional to 580.98, 802.61 and 457.46 is: 631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.98 : 802.61 = 457.46 : x
  2. Step 2: Convert to fraction form
    580.98/802.61 = 457.46/x
  3. Step 3: Cross multiply
    580.98x = 802.61 × 457.46
  4. Step 4: Simplify right side
    580.98x = 367,161.97
  5. Step 5: Solve for x
    x = 367,161.97/580.98
  6. Step 6: Final answer
    x = 631.97

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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.