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Finding the Fourth Proportional to 385.78, 576.98 and 358.08

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Solution

The fourth proportional to 385.78, 576.98 and 358.08 is: 535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.78 : 576.98 = 358.08 : x
  2. Step 2: Convert to fraction form
    385.78/576.98 = 358.08/x
  3. Step 3: Cross multiply
    385.78x = 576.98 × 358.08
  4. Step 4: Simplify right side
    385.78x = 206,605.00
  5. Step 5: Solve for x
    x = 206,605.00/385.78
  6. Step 6: Final answer
    x = 535.55

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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.