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Finding the Fourth Proportional to 564.02, 846.02 and 275.40

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Solution

The fourth proportional to 564.02, 846.02 and 275.40 is: 413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.02 : 846.02 = 275.40 : x
  2. Step 2: Convert to fraction form
    564.02/846.02 = 275.40/x
  3. Step 3: Cross multiply
    564.02x = 846.02 × 275.40
  4. Step 4: Simplify right side
    564.02x = 232,993.91
  5. Step 5: Solve for x
    x = 232,993.91/564.02
  6. Step 6: Final answer
    x = 413.10

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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.