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Finding the Fourth Proportional to 564.10, 846.14 and 471.76

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Solution

The fourth proportional to 564.10, 846.14 and 471.76 is: 707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.10 : 846.14 = 471.76 : x
  2. Step 2: Convert to fraction form
    564.10/846.14 = 471.76/x
  3. Step 3: Cross multiply
    564.10x = 846.14 × 471.76
  4. Step 4: Simplify right side
    564.10x = 399,175.01
  5. Step 5: Solve for x
    x = 399,175.01/564.10
  6. Step 6: Final answer
    x = 707.63

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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.