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Finding the Fourth Proportional to 564.42, 846.63 and 442.53

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Solution

The fourth proportional to 564.42, 846.63 and 442.53 is: 663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.42 : 846.63 = 442.53 : x
  2. Step 2: Convert to fraction form
    564.42/846.63 = 442.53/x
  3. Step 3: Cross multiply
    564.42x = 846.63 × 442.53
  4. Step 4: Simplify right side
    564.42x = 374,659.17
  5. Step 5: Solve for x
    x = 374,659.17/564.42
  6. Step 6: Final answer
    x = 663.80

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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.