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Finding the Fourth Proportional to 564.18, 778.23 and 357.18

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Solution

The fourth proportional to 564.18, 778.23 and 357.18 is: 492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.18 : 778.23 = 357.18 : x
  2. Step 2: Convert to fraction form
    564.18/778.23 = 357.18/x
  3. Step 3: Cross multiply
    564.18x = 778.23 × 357.18
  4. Step 4: Simplify right side
    564.18x = 277,968.19
  5. Step 5: Solve for x
    x = 277,968.19/564.18
  6. Step 6: Final answer
    x = 492.69

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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.