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Finding the Fourth Proportional to 564.12, 777.74 and 458.82

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Solution

The fourth proportional to 564.12, 777.74 and 458.82 is: 632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.12 : 777.74 = 458.82 : x
  2. Step 2: Convert to fraction form
    564.12/777.74 = 458.82/x
  3. Step 3: Cross multiply
    564.12x = 777.74 × 458.82
  4. Step 4: Simplify right side
    564.12x = 356,840.37
  5. Step 5: Solve for x
    x = 356,840.37/564.12
  6. Step 6: Final answer
    x = 632.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.