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Finding the Fourth Proportional to 560.62, 840.94 and 175.88

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Solution

The fourth proportional to 560.62, 840.94 and 175.88 is: 263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.62 : 840.94 = 175.88 : x
  2. Step 2: Convert to fraction form
    560.62/840.94 = 175.88/x
  3. Step 3: Cross multiply
    560.62x = 840.94 × 175.88
  4. Step 4: Simplify right side
    560.62x = 147,904.53
  5. Step 5: Solve for x
    x = 147,904.53/560.62
  6. Step 6: Final answer
    x = 263.82

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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.