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Finding the Fourth Proportional to 830, 1,245.36 and 397.16

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Solution

The fourth proportional to 830, 1,245.36 and 397.16 is: 595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    830 : 1,245.36 = 397.16 : x
  2. Step 2: Convert to fraction form
    830/1,245.36 = 397.16/x
  3. Step 3: Cross multiply
    830x = 1,245.36 × 397.16
  4. Step 4: Simplify right side
    830x = 494,607.18
  5. Step 5: Solve for x
    x = 494,607.18/830
  6. Step 6: Final answer
    x = 595.91

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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.