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Finding the Fourth Proportional to 581.68, 872.90 and 307.98

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Solution

The fourth proportional to 581.68, 872.90 and 307.98 is: 462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.68 : 872.90 = 307.98 : x
  2. Step 2: Convert to fraction form
    581.68/872.90 = 307.98/x
  3. Step 3: Cross multiply
    581.68x = 872.90 × 307.98
  4. Step 4: Simplify right side
    581.68x = 268,833.77
  5. Step 5: Solve for x
    x = 268,833.77/581.68
  6. Step 6: Final answer
    x = 462.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.