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Finding the Fourth Proportional to 564.03, 778.32 and 339.96

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Solution

The fourth proportional to 564.03, 778.32 and 339.96 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.03 : 778.32 = 339.96 : x
  2. Step 2: Convert to fraction form
    564.03/778.32 = 339.96/x
  3. Step 3: Cross multiply
    564.03x = 778.32 × 339.96
  4. Step 4: Simplify right side
    564.03x = 264,597.67
  5. Step 5: Solve for x
    x = 264,597.67/564.03
  6. Step 6: Final answer
    x = 469.12

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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.