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Finding the Fourth Proportional to 334.92, 459.72 and 297.24

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Solution

The fourth proportional to 334.92, 459.72 and 297.24 is: 408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.92 : 459.72 = 297.24 : x
  2. Step 2: Convert to fraction form
    334.92/459.72 = 297.24/x
  3. Step 3: Cross multiply
    334.92x = 459.72 × 297.24
  4. Step 4: Simplify right side
    334.92x = 136,647.17
  5. Step 5: Solve for x
    x = 136,647.17/334.92
  6. Step 6: Final answer
    x = 408.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.