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Finding the Fourth Proportional to 560.82, 841.42 and 176.08

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Solution

The fourth proportional to 560.82, 841.42 and 176.08 is: 264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.82 : 841.42 = 176.08 : x
  2. Step 2: Convert to fraction form
    560.82/841.42 = 176.08/x
  3. Step 3: Cross multiply
    560.82x = 841.42 × 176.08
  4. Step 4: Simplify right side
    560.82x = 148,157.23
  5. Step 5: Solve for x
    x = 148,157.23/560.82
  6. Step 6: Final answer
    x = 264.18

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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.