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Finding the Fourth Proportional to 340.48, 469.76 and 207.68

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Solution

The fourth proportional to 340.48, 469.76 and 207.68 is: 286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.48 : 469.76 = 207.68 : x
  2. Step 2: Convert to fraction form
    340.48/469.76 = 207.68/x
  3. Step 3: Cross multiply
    340.48x = 469.76 × 207.68
  4. Step 4: Simplify right side
    340.48x = 97,559.76
  5. Step 5: Solve for x
    x = 97,559.76/340.48
  6. Step 6: Final answer
    x = 286.54

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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.