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Finding the Fourth Proportional to 488.36, 732.90 and 393.32

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Solution

The fourth proportional to 488.36, 732.90 and 393.32 is: 590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.36 : 732.90 = 393.32 : x
  2. Step 2: Convert to fraction form
    488.36/732.90 = 393.32/x
  3. Step 3: Cross multiply
    488.36x = 732.90 × 393.32
  4. Step 4: Simplify right side
    488.36x = 288,264.23
  5. Step 5: Solve for x
    x = 288,264.23/488.36
  6. Step 6: Final answer
    x = 590.27

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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.