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Finding the Fourth Proportional to 319.64, 478.64 and 175.05

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Solution

The fourth proportional to 319.64, 478.64 and 175.05 is: 262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.64 : 478.64 = 175.05 : x
  2. Step 2: Convert to fraction form
    319.64/478.64 = 175.05/x
  3. Step 3: Cross multiply
    319.64x = 478.64 × 175.05
  4. Step 4: Simplify right side
    319.64x = 83,785.06
  5. Step 5: Solve for x
    x = 83,785.06/319.64
  6. Step 6: Final answer
    x = 262.13

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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.