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Finding the Fourth Proportional to 564, 777.93 and 377.40

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Solution

The fourth proportional to 564, 777.93 and 377.40 is: 520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 777.93 = 377.40 : x
  2. Step 2: Convert to fraction form
    564/777.93 = 377.40/x
  3. Step 3: Cross multiply
    564x = 777.93 × 377.40
  4. Step 4: Simplify right side
    564x = 293,590.78
  5. Step 5: Solve for x
    x = 293,590.78/564
  6. Step 6: Final answer
    x = 520.55

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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.