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Finding the Fourth Proportional to 385.10, 577.65 and 377.10

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Solution

The fourth proportional to 385.10, 577.65 and 377.10 is: 565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 577.65 = 377.10 : x
  2. Step 2: Convert to fraction form
    385.10/577.65 = 377.10/x
  3. Step 3: Cross multiply
    385.10x = 577.65 × 377.10
  4. Step 4: Simplify right side
    385.10x = 217,831.82
  5. Step 5: Solve for x
    x = 217,831.82/385.10
  6. Step 6: Final answer
    x = 565.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.