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Finding the Fourth Proportional to 463.95, 695.90 and 117.29

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Solution

The fourth proportional to 463.95, 695.90 and 117.29 is: 175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.95 : 695.90 = 117.29 : x
  2. Step 2: Convert to fraction form
    463.95/695.90 = 117.29/x
  3. Step 3: Cross multiply
    463.95x = 695.90 × 117.29
  4. Step 4: Simplify right side
    463.95x = 81,622.11
  5. Step 5: Solve for x
    x = 81,622.11/463.95
  6. Step 6: Final answer
    x = 175.93

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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.