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Finding the Fourth Proportional to 460.59, 691.57 and 288.34

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Solution

The fourth proportional to 460.59, 691.57 and 288.34 is: 432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 691.57 = 288.34 : x
  2. Step 2: Convert to fraction form
    460.59/691.57 = 288.34/x
  3. Step 3: Cross multiply
    460.59x = 691.57 × 288.34
  4. Step 4: Simplify right side
    460.59x = 199,409.82
  5. Step 5: Solve for x
    x = 199,409.82/460.59
  6. Step 6: Final answer
    x = 432.95

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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.