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Finding the Fourth Proportional to 313.43, 432.45 and 266.72

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Solution

The fourth proportional to 313.43, 432.45 and 266.72 is: 368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.43 : 432.45 = 266.72 : x
  2. Step 2: Convert to fraction form
    313.43/432.45 = 266.72/x
  3. Step 3: Cross multiply
    313.43x = 432.45 × 266.72
  4. Step 4: Simplify right side
    313.43x = 115,343.06
  5. Step 5: Solve for x
    x = 115,343.06/313.43
  6. Step 6: Final answer
    x = 368.00

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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.