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Finding the Fourth Proportional to 386.52, 578.70 and 264.60

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Solution

The fourth proportional to 386.52, 578.70 and 264.60 is: 396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.52 : 578.70 = 264.60 : x
  2. Step 2: Convert to fraction form
    386.52/578.70 = 264.60/x
  3. Step 3: Cross multiply
    386.52x = 578.70 × 264.60
  4. Step 4: Simplify right side
    386.52x = 153,124.02
  5. Step 5: Solve for x
    x = 153,124.02/386.52
  6. Step 6: Final answer
    x = 396.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.