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Finding the Fourth Proportional to 285.86, 430.58 and 235.14

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Solution

The fourth proportional to 285.86, 430.58 and 235.14 is: 354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.86 : 430.58 = 235.14 : x
  2. Step 2: Convert to fraction form
    285.86/430.58 = 235.14/x
  3. Step 3: Cross multiply
    285.86x = 430.58 × 235.14
  4. Step 4: Simplify right side
    285.86x = 101,245.55
  5. Step 5: Solve for x
    x = 101,245.55/285.86
  6. Step 6: Final answer
    x = 354.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.