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Finding the Fourth Proportional to 482.16, 722.48 and 319.72

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Solution

The fourth proportional to 482.16, 722.48 and 319.72 is: 479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 722.48 = 319.72 : x
  2. Step 2: Convert to fraction form
    482.16/722.48 = 319.72/x
  3. Step 3: Cross multiply
    482.16x = 722.48 × 319.72
  4. Step 4: Simplify right side
    482.16x = 230,991.31
  5. Step 5: Solve for x
    x = 230,991.31/482.16
  6. Step 6: Final answer
    x = 479.08

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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.