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Finding the Fourth Proportional to 564.42, 778.95 and 354.75

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Solution

The fourth proportional to 564.42, 778.95 and 354.75 is: 489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.42 : 778.95 = 354.75 : x
  2. Step 2: Convert to fraction form
    564.42/778.95 = 354.75/x
  3. Step 3: Cross multiply
    564.42x = 778.95 × 354.75
  4. Step 4: Simplify right side
    564.42x = 276,332.51
  5. Step 5: Solve for x
    x = 276,332.51/564.42
  6. Step 6: Final answer
    x = 489.59

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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.