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Finding the Fourth Proportional to 340.16, 508.73 and 291.87

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Solution

The fourth proportional to 340.16, 508.73 and 291.87 is: 436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 508.73 = 291.87 : x
  2. Step 2: Convert to fraction form
    340.16/508.73 = 291.87/x
  3. Step 3: Cross multiply
    340.16x = 508.73 × 291.87
  4. Step 4: Simplify right side
    340.16x = 148,481.57
  5. Step 5: Solve for x
    x = 148,481.57/340.16
  6. Step 6: Final answer
    x = 436.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.