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Finding the Fourth Proportional to 518.55, 715.64 and 297.57

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Solution

The fourth proportional to 518.55, 715.64 and 297.57 is: 410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.55 : 715.64 = 297.57 : x
  2. Step 2: Convert to fraction form
    518.55/715.64 = 297.57/x
  3. Step 3: Cross multiply
    518.55x = 715.64 × 297.57
  4. Step 4: Simplify right side
    518.55x = 212,952.25
  5. Step 5: Solve for x
    x = 212,952.25/518.55
  6. Step 6: Final answer
    x = 410.67

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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.