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Finding the Fourth Proportional to 319.13, 478.71 and 268.10

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Solution

The fourth proportional to 319.13, 478.71 and 268.10 is: 402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 478.71 = 268.10 : x
  2. Step 2: Convert to fraction form
    319.13/478.71 = 268.10/x
  3. Step 3: Cross multiply
    319.13x = 478.71 × 268.10
  4. Step 4: Simplify right side
    319.13x = 128,343.35
  5. Step 5: Solve for x
    x = 128,343.35/319.13
  6. Step 6: Final answer
    x = 402.16

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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.