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Finding the Fourth Proportional to 560.85, 841.41 and 176.10

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Solution

The fourth proportional to 560.85, 841.41 and 176.10 is: 264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.85 : 841.41 = 176.10 : x
  2. Step 2: Convert to fraction form
    560.85/841.41 = 176.10/x
  3. Step 3: Cross multiply
    560.85x = 841.41 × 176.10
  4. Step 4: Simplify right side
    560.85x = 148,174.73
  5. Step 5: Solve for x
    x = 148,174.73/560.85
  6. Step 6: Final answer
    x = 264.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.