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Finding the Fourth Proportional to 320.60, 480.09 and 284.42

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Solution

The fourth proportional to 320.60, 480.09 and 284.42 is: 425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.60 : 480.09 = 284.42 : x
  2. Step 2: Convert to fraction form
    320.60/480.09 = 284.42/x
  3. Step 3: Cross multiply
    320.60x = 480.09 × 284.42
  4. Step 4: Simplify right side
    320.60x = 136,547.20
  5. Step 5: Solve for x
    x = 136,547.20/320.60
  6. Step 6: Final answer
    x = 425.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.