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Finding the Fourth Proportional to 961.48, 1,442.32 and 312.08

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Solution

The fourth proportional to 961.48, 1,442.32 and 312.08 is: 468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.48 : 1,442.32 = 312.08 : x
  2. Step 2: Convert to fraction form
    961.48/1,442.32 = 312.08/x
  3. Step 3: Cross multiply
    961.48x = 1,442.32 × 312.08
  4. Step 4: Simplify right side
    961.48x = 450,119.23
  5. Step 5: Solve for x
    x = 450,119.23/961.48
  6. Step 6: Final answer
    x = 468.15

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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.