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Finding the Fourth Proportional to 347.53, 479.63 and 260.05

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Solution

The fourth proportional to 347.53, 479.63 and 260.05 is: 358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.53 : 479.63 = 260.05 : x
  2. Step 2: Convert to fraction form
    347.53/479.63 = 260.05/x
  3. Step 3: Cross multiply
    347.53x = 479.63 × 260.05
  4. Step 4: Simplify right side
    347.53x = 124,727.78
  5. Step 5: Solve for x
    x = 124,727.78/347.53
  6. Step 6: Final answer
    x = 358.90

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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.