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Finding the Fourth Proportional to 295.80, 407.82 and 230.04

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Solution

The fourth proportional to 295.80, 407.82 and 230.04 is: 317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.80 : 407.82 = 230.04 : x
  2. Step 2: Convert to fraction form
    295.80/407.82 = 230.04/x
  3. Step 3: Cross multiply
    295.80x = 407.82 × 230.04
  4. Step 4: Simplify right side
    295.80x = 93,814.91
  5. Step 5: Solve for x
    x = 93,814.91/295.80
  6. Step 6: Final answer
    x = 317.16

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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.