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Finding the Fourth Proportional to 320.72, 483.44 and 293.40

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Solution

The fourth proportional to 320.72, 483.44 and 293.40 is: 442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 483.44 = 293.40 : x
  2. Step 2: Convert to fraction form
    320.72/483.44 = 293.40/x
  3. Step 3: Cross multiply
    320.72x = 483.44 × 293.40
  4. Step 4: Simplify right side
    320.72x = 141,841.30
  5. Step 5: Solve for x
    x = 141,841.30/320.72
  6. Step 6: Final answer
    x = 442.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.