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Finding the Fourth Proportional to 564, 777.94 and 374.95

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Solution

The fourth proportional to 564, 777.94 and 374.95 is: 517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 777.94 = 374.95 : x
  2. Step 2: Convert to fraction form
    564/777.94 = 374.95/x
  3. Step 3: Cross multiply
    564x = 777.94 × 374.95
  4. Step 4: Simplify right side
    564x = 291,688.60
  5. Step 5: Solve for x
    x = 291,688.60/564
  6. Step 6: Final answer
    x = 517.18

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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.