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Finding the Fourth Proportional to 564.67, 778.49 and 368.04

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Solution

The fourth proportional to 564.67, 778.49 and 368.04 is: 507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.67 : 778.49 = 368.04 : x
  2. Step 2: Convert to fraction form
    564.67/778.49 = 368.04/x
  3. Step 3: Cross multiply
    564.67x = 778.49 × 368.04
  4. Step 4: Simplify right side
    564.67x = 286,515.46
  5. Step 5: Solve for x
    x = 286,515.46/564.67
  6. Step 6: Final answer
    x = 507.41

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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.