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Finding the Fourth Proportional to 564.59, 846.93 and 153.72

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Solution

The fourth proportional to 564.59, 846.93 and 153.72 is: 230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.59 : 846.93 = 153.72 : x
  2. Step 2: Convert to fraction form
    564.59/846.93 = 153.72/x
  3. Step 3: Cross multiply
    564.59x = 846.93 × 153.72
  4. Step 4: Simplify right side
    564.59x = 130,190.08
  5. Step 5: Solve for x
    x = 130,190.08/564.59
  6. Step 6: Final answer
    x = 230.59

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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.