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Finding the Fourth Proportional to 564.01, 778.10 and 342.93

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Solution

The fourth proportional to 564.01, 778.10 and 342.93 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.01 : 778.10 = 342.93 : x
  2. Step 2: Convert to fraction form
    564.01/778.10 = 342.93/x
  3. Step 3: Cross multiply
    564.01x = 778.10 × 342.93
  4. Step 4: Simplify right side
    564.01x = 266,829.94
  5. Step 5: Solve for x
    x = 266,829.94/564.01
  6. Step 6: Final answer
    x = 473.09

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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.