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Finding the Fourth Proportional to 347.16, 478.62 and 259.68

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Solution

The fourth proportional to 347.16, 478.62 and 259.68 is: 358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.16 : 478.62 = 259.68 : x
  2. Step 2: Convert to fraction form
    347.16/478.62 = 259.68/x
  3. Step 3: Cross multiply
    347.16x = 478.62 × 259.68
  4. Step 4: Simplify right side
    347.16x = 124,288.04
  5. Step 5: Solve for x
    x = 124,288.04/347.16
  6. Step 6: Final answer
    x = 358.01

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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.