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Finding the Fourth Proportional to 275.61, 411.45 and 266.01

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Solution

The fourth proportional to 275.61, 411.45 and 266.01 is: 397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.61 : 411.45 = 266.01 : x
  2. Step 2: Convert to fraction form
    275.61/411.45 = 266.01/x
  3. Step 3: Cross multiply
    275.61x = 411.45 × 266.01
  4. Step 4: Simplify right side
    275.61x = 109,448.77
  5. Step 5: Solve for x
    x = 109,448.77/275.61
  6. Step 6: Final answer
    x = 397.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.