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Finding the Fourth Proportional to 638.51, 956.40 and 313.20

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Solution

The fourth proportional to 638.51, 956.40 and 313.20 is: 469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.51 : 956.40 = 313.20 : x
  2. Step 2: Convert to fraction form
    638.51/956.40 = 313.20/x
  3. Step 3: Cross multiply
    638.51x = 956.40 × 313.20
  4. Step 4: Simplify right side
    638.51x = 299,544.48
  5. Step 5: Solve for x
    x = 299,544.48/638.51
  6. Step 6: Final answer
    x = 469.13

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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.