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Finding the Fourth Proportional to 564.70, 779.50 and 368.14

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Solution

The fourth proportional to 564.70, 779.50 and 368.14 is: 508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.70 : 779.50 = 368.14 : x
  2. Step 2: Convert to fraction form
    564.70/779.50 = 368.14/x
  3. Step 3: Cross multiply
    564.70x = 779.50 × 368.14
  4. Step 4: Simplify right side
    564.70x = 286,965.13
  5. Step 5: Solve for x
    x = 286,965.13/564.70
  6. Step 6: Final answer
    x = 508.17

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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.