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Finding the Fourth Proportional to 375.65, 564.47 and 202.45

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Solution

The fourth proportional to 375.65, 564.47 and 202.45 is: 304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.65 : 564.47 = 202.45 : x
  2. Step 2: Convert to fraction form
    375.65/564.47 = 202.45/x
  3. Step 3: Cross multiply
    375.65x = 564.47 × 202.45
  4. Step 4: Simplify right side
    375.65x = 114,276.95
  5. Step 5: Solve for x
    x = 114,276.95/375.65
  6. Step 6: Final answer
    x = 304.21

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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.