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Finding the Fourth Proportional to 375.13, 561.88 and 283.87

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Solution

The fourth proportional to 375.13, 561.88 and 283.87 is: 425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.13 : 561.88 = 283.87 : x
  2. Step 2: Convert to fraction form
    375.13/561.88 = 283.87/x
  3. Step 3: Cross multiply
    375.13x = 561.88 × 283.87
  4. Step 4: Simplify right side
    375.13x = 159,496.65
  5. Step 5: Solve for x
    x = 159,496.65/375.13
  6. Step 6: Final answer
    x = 425.18

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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.