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Finding the Fourth Proportional to 518.14, 715.04 and 297.08

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Solution

The fourth proportional to 518.14, 715.04 and 297.08 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.14 : 715.04 = 297.08 : x
  2. Step 2: Convert to fraction form
    518.14/715.04 = 297.08/x
  3. Step 3: Cross multiply
    518.14x = 715.04 × 297.08
  4. Step 4: Simplify right side
    518.14x = 212,421.25
  5. Step 5: Solve for x
    x = 212,421.25/518.14
  6. Step 6: Final answer
    x = 409.97

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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.