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Finding the Fourth Proportional to 945.27, 1,417.91 and 296.01

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Solution

The fourth proportional to 945.27, 1,417.91 and 296.01 is: 444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.27 : 1,417.91 = 296.01 : x
  2. Step 2: Convert to fraction form
    945.27/1,417.91 = 296.01/x
  3. Step 3: Cross multiply
    945.27x = 1,417.91 × 296.01
  4. Step 4: Simplify right side
    945.27x = 419,714.06
  5. Step 5: Solve for x
    x = 419,714.06/945.27
  6. Step 6: Final answer
    x = 444.02

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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.