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Finding the Fourth Proportional to 446.53, 616.14 and 260

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Solution

The fourth proportional to 446.53, 616.14 and 260 is: 358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.53 : 616.14 = 260 : x
  2. Step 2: Convert to fraction form
    446.53/616.14 = 260/x
  3. Step 3: Cross multiply
    446.53x = 616.14 × 260
  4. Step 4: Simplify right side
    446.53x = 160,196.40
  5. Step 5: Solve for x
    x = 160,196.40/446.53
  6. Step 6: Final answer
    x = 358.76

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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.