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Finding the Fourth Proportional to 375.01, 562.71 and 283.68

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Solution

The fourth proportional to 375.01, 562.71 and 283.68 is: 425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.01 : 562.71 = 283.68 : x
  2. Step 2: Convert to fraction form
    375.01/562.71 = 283.68/x
  3. Step 3: Cross multiply
    375.01x = 562.71 × 283.68
  4. Step 4: Simplify right side
    375.01x = 159,629.57
  5. Step 5: Solve for x
    x = 159,629.57/375.01
  6. Step 6: Final answer
    x = 425.67

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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.