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Finding the Fourth Proportional to 492.11, 678.75 and 429.81

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Solution

The fourth proportional to 492.11, 678.75 and 429.81 is: 592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.11 : 678.75 = 429.81 : x
  2. Step 2: Convert to fraction form
    492.11/678.75 = 429.81/x
  3. Step 3: Cross multiply
    492.11x = 678.75 × 429.81
  4. Step 4: Simplify right side
    492.11x = 291,731.84
  5. Step 5: Solve for x
    x = 291,731.84/492.11
  6. Step 6: Final answer
    x = 592.82

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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.