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Finding the Fourth Proportional to 457.57, 628.40 and 383.76

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Solution

The fourth proportional to 457.57, 628.40 and 383.76 is: 527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.57 : 628.40 = 383.76 : x
  2. Step 2: Convert to fraction form
    457.57/628.40 = 383.76/x
  3. Step 3: Cross multiply
    457.57x = 628.40 × 383.76
  4. Step 4: Simplify right side
    457.57x = 241,155.74
  5. Step 5: Solve for x
    x = 241,155.74/457.57
  6. Step 6: Final answer
    x = 527.03

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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.