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Finding the Fourth Proportional to 387.93, 531.56 and 384.36

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Solution

The fourth proportional to 387.93, 531.56 and 384.36 is: 526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.93 : 531.56 = 384.36 : x
  2. Step 2: Convert to fraction form
    387.93/531.56 = 384.36/x
  3. Step 3: Cross multiply
    387.93x = 531.56 × 384.36
  4. Step 4: Simplify right side
    387.93x = 204,310.40
  5. Step 5: Solve for x
    x = 204,310.40/387.93
  6. Step 6: Final answer
    x = 526.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.