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Finding the Fourth Proportional to 294.71, 439.74 and 293.00

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Solution

The fourth proportional to 294.71, 439.74 and 293.00 is: 437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.71 : 439.74 = 293.00 : x
  2. Step 2: Convert to fraction form
    294.71/439.74 = 293.00/x
  3. Step 3: Cross multiply
    294.71x = 439.74 × 293.00
  4. Step 4: Simplify right side
    294.71x = 128,841.62
  5. Step 5: Solve for x
    x = 128,841.62/294.71
  6. Step 6: Final answer
    x = 437.19

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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.