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Finding the Fourth Proportional to 446.51, 616.22 and 260.06

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Solution

The fourth proportional to 446.51, 616.22 and 260.06 is: 358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.51 : 616.22 = 260.06 : x
  2. Step 2: Convert to fraction form
    446.51/616.22 = 260.06/x
  3. Step 3: Cross multiply
    446.51x = 616.22 × 260.06
  4. Step 4: Simplify right side
    446.51x = 160,254.17
  5. Step 5: Solve for x
    x = 160,254.17/446.51
  6. Step 6: Final answer
    x = 358.90

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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.