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Finding the Fourth Proportional to 435.06, 601.14 and 322.86

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Solution

The fourth proportional to 435.06, 601.14 and 322.86 is: 446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.06 : 601.14 = 322.86 : x
  2. Step 2: Convert to fraction form
    435.06/601.14 = 322.86/x
  3. Step 3: Cross multiply
    435.06x = 601.14 × 322.86
  4. Step 4: Simplify right side
    435.06x = 194,084.06
  5. Step 5: Solve for x
    x = 194,084.06/435.06
  6. Step 6: Final answer
    x = 446.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.