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Finding the Fourth Proportional to 332.64, 459.36 and 314.46

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Solution

The fourth proportional to 332.64, 459.36 and 314.46 is: 434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.64 : 459.36 = 314.46 : x
  2. Step 2: Convert to fraction form
    332.64/459.36 = 314.46/x
  3. Step 3: Cross multiply
    332.64x = 459.36 × 314.46
  4. Step 4: Simplify right side
    332.64x = 144,450.35
  5. Step 5: Solve for x
    x = 144,450.35/332.64
  6. Step 6: Final answer
    x = 434.25

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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.