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Finding the Fourth Proportional to 446.61, 616.07 and 322.01

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Solution

The fourth proportional to 446.61, 616.07 and 322.01 is: 444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.61 : 616.07 = 322.01 : x
  2. Step 2: Convert to fraction form
    446.61/616.07 = 322.01/x
  3. Step 3: Cross multiply
    446.61x = 616.07 × 322.01
  4. Step 4: Simplify right side
    446.61x = 198,376.01
  5. Step 5: Solve for x
    x = 198,376.01/446.61
  6. Step 6: Final answer
    x = 444.18

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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.