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Finding the Fourth Proportional to 313.53, 432.97 and 264.32

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Solution

The fourth proportional to 313.53, 432.97 and 264.32 is: 365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.53 : 432.97 = 264.32 : x
  2. Step 2: Convert to fraction form
    313.53/432.97 = 264.32/x
  3. Step 3: Cross multiply
    313.53x = 432.97 × 264.32
  4. Step 4: Simplify right side
    313.53x = 114,444.25
  5. Step 5: Solve for x
    x = 114,444.25/313.53
  6. Step 6: Final answer
    x = 365.02

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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.