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Finding the Fourth Proportional to 518.13, 715.10 and 297

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Solution

The fourth proportional to 518.13, 715.10 and 297 is: 409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.13 : 715.10 = 297 : x
  2. Step 2: Convert to fraction form
    518.13/715.10 = 297/x
  3. Step 3: Cross multiply
    518.13x = 715.10 × 297
  4. Step 4: Simplify right side
    518.13x = 212,383.22
  5. Step 5: Solve for x
    x = 212,383.22/518.13
  6. Step 6: Final answer
    x = 409.90

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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.