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Finding the Fourth Proportional to 347.64, 479.76 and 207.78

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Solution

The fourth proportional to 347.64, 479.76 and 207.78 is: 286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.64 : 479.76 = 207.78 : x
  2. Step 2: Convert to fraction form
    347.64/479.76 = 207.78/x
  3. Step 3: Cross multiply
    347.64x = 479.76 × 207.78
  4. Step 4: Simplify right side
    347.64x = 99,681.10
  5. Step 5: Solve for x
    x = 99,681.10/347.64
  6. Step 6: Final answer
    x = 286.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.