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Finding the Fourth Proportional to 580.97, 802.51 and 514.69

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Solution

The fourth proportional to 580.97, 802.51 and 514.69 is: 710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.97 : 802.51 = 514.69 : x
  2. Step 2: Convert to fraction form
    580.97/802.51 = 514.69/x
  3. Step 3: Cross multiply
    580.97x = 802.51 × 514.69
  4. Step 4: Simplify right side
    580.97x = 413,040.58
  5. Step 5: Solve for x
    x = 413,040.58/580.97
  6. Step 6: Final answer
    x = 710.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.