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Finding the Fourth Proportional to 387.62, 534.56 and 261.53

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Solution

The fourth proportional to 387.62, 534.56 and 261.53 is: 360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.62 : 534.56 = 261.53 : x
  2. Step 2: Convert to fraction form
    387.62/534.56 = 261.53/x
  3. Step 3: Cross multiply
    387.62x = 534.56 × 261.53
  4. Step 4: Simplify right side
    387.62x = 139,803.34
  5. Step 5: Solve for x
    x = 139,803.34/387.62
  6. Step 6: Final answer
    x = 360.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.