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Finding the Fourth Proportional to 581.76, 802.98 and 558.18

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Solution

The fourth proportional to 581.76, 802.98 and 558.18 is: 770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 802.98 = 558.18 : x
  2. Step 2: Convert to fraction form
    581.76/802.98 = 558.18/x
  3. Step 3: Cross multiply
    581.76x = 802.98 × 558.18
  4. Step 4: Simplify right side
    581.76x = 448,207.38
  5. Step 5: Solve for x
    x = 448,207.38/581.76
  6. Step 6: Final answer
    x = 770.43

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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.