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Finding the Fourth Proportional to 518.34, 715.32 and 282.30

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Solution

The fourth proportional to 518.34, 715.32 and 282.30 is: 389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.34 : 715.32 = 282.30 : x
  2. Step 2: Convert to fraction form
    518.34/715.32 = 282.30/x
  3. Step 3: Cross multiply
    518.34x = 715.32 × 282.30
  4. Step 4: Simplify right side
    518.34x = 201,931.97
  5. Step 5: Solve for x
    x = 201,931.97/518.34
  6. Step 6: Final answer
    x = 389.58

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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.