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Finding the Fourth Proportional to 564.49, 778.96 and 312.40

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Solution

The fourth proportional to 564.49, 778.96 and 312.40 is: 431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.49 : 778.96 = 312.40 : x
  2. Step 2: Convert to fraction form
    564.49/778.96 = 312.40/x
  3. Step 3: Cross multiply
    564.49x = 778.96 × 312.40
  4. Step 4: Simplify right side
    564.49x = 243,349.54
  5. Step 5: Solve for x
    x = 243,349.54/564.49
  6. Step 6: Final answer
    x = 431.10

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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.