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Finding the Fourth Proportional to 294.40, 412.70 and 294.40

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Solution

The fourth proportional to 294.40, 412.70 and 294.40 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.40 : 412.70 = 294.40 : x
  2. Step 2: Convert to fraction form
    294.40/412.70 = 294.40/x
  3. Step 3: Cross multiply
    294.40x = 412.70 × 294.40
  4. Step 4: Simplify right side
    294.40x = 121,498.88
  5. Step 5: Solve for x
    x = 121,498.88/294.40
  6. Step 6: Final answer
    x = 412.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.