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Finding the Fourth Proportional to 341.53, 511.16 and 259.91

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Solution

The fourth proportional to 341.53, 511.16 and 259.91 is: 389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.53 : 511.16 = 259.91 : x
  2. Step 2: Convert to fraction form
    341.53/511.16 = 259.91/x
  3. Step 3: Cross multiply
    341.53x = 511.16 × 259.91
  4. Step 4: Simplify right side
    341.53x = 132,854.30
  5. Step 5: Solve for x
    x = 132,854.30/341.53
  6. Step 6: Final answer
    x = 389.00

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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.