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Finding the Fourth Proportional to 313.18, 432.51 and 264.44

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Solution

The fourth proportional to 313.18, 432.51 and 264.44 is: 365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.18 : 432.51 = 264.44 : x
  2. Step 2: Convert to fraction form
    313.18/432.51 = 264.44/x
  3. Step 3: Cross multiply
    313.18x = 432.51 × 264.44
  4. Step 4: Simplify right side
    313.18x = 114,373.03
  5. Step 5: Solve for x
    x = 114,373.03/313.18
  6. Step 6: Final answer
    x = 365.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.