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Finding the Fourth Proportional to 294.79, 439.90 and 264.04

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Solution

The fourth proportional to 294.79, 439.90 and 264.04 is: 394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.79 : 439.90 = 264.04 : x
  2. Step 2: Convert to fraction form
    294.79/439.90 = 264.04/x
  3. Step 3: Cross multiply
    294.79x = 439.90 × 264.04
  4. Step 4: Simplify right side
    294.79x = 116,151.20
  5. Step 5: Solve for x
    x = 116,151.20/294.79
  6. Step 6: Final answer
    x = 394.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.