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Finding the Fourth Proportional to 319.61, 479.55 and 175.32

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Solution

The fourth proportional to 319.61, 479.55 and 175.32 is: 263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.61 : 479.55 = 175.32 : x
  2. Step 2: Convert to fraction form
    319.61/479.55 = 175.32/x
  3. Step 3: Cross multiply
    319.61x = 479.55 × 175.32
  4. Step 4: Simplify right side
    319.61x = 84,074.71
  5. Step 5: Solve for x
    x = 84,074.71/319.61
  6. Step 6: Final answer
    x = 263.06

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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.