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Finding the Fourth Proportional to 816.18, 1,223.88 and 296.10

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Solution

The fourth proportional to 816.18, 1,223.88 and 296.10 is: 444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.18 : 1,223.88 = 296.10 : x
  2. Step 2: Convert to fraction form
    816.18/1,223.88 = 296.10/x
  3. Step 3: Cross multiply
    816.18x = 1,223.88 × 296.10
  4. Step 4: Simplify right side
    816.18x = 362,389.76
  5. Step 5: Solve for x
    x = 362,389.76/816.18
  6. Step 6: Final answer
    x = 444.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.