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Finding the Fourth Proportional to 315.15, 473.07 and 266.63

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Solution

The fourth proportional to 315.15, 473.07 and 266.63 is: 400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.15 : 473.07 = 266.63 : x
  2. Step 2: Convert to fraction form
    315.15/473.07 = 266.63/x
  3. Step 3: Cross multiply
    315.15x = 473.07 × 266.63
  4. Step 4: Simplify right side
    315.15x = 126,133.12
  5. Step 5: Solve for x
    x = 126,133.12/315.15
  6. Step 6: Final answer
    x = 400.23

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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.