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Finding the Fourth Proportional to 518.12, 715 and 297.10

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Solution

The fourth proportional to 518.12, 715 and 297.10 is: 409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.12 : 715 = 297.10 : x
  2. Step 2: Convert to fraction form
    518.12/715 = 297.10/x
  3. Step 3: Cross multiply
    518.12x = 715 × 297.10
  4. Step 4: Simplify right side
    518.12x = 212,426.50
  5. Step 5: Solve for x
    x = 212,426.50/518.12
  6. Step 6: Final answer
    x = 409.99

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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.