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Finding the Fourth Proportional to 561.14, 840.02 and 463.17

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Solution

The fourth proportional to 561.14, 840.02 and 463.17 is: 693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.14 : 840.02 = 463.17 : x
  2. Step 2: Convert to fraction form
    561.14/840.02 = 463.17/x
  3. Step 3: Cross multiply
    561.14x = 840.02 × 463.17
  4. Step 4: Simplify right side
    561.14x = 389,069.75
  5. Step 5: Solve for x
    x = 389,069.75/561.14
  6. Step 6: Final answer
    x = 693.36

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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.