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Finding the Fourth Proportional to 285.80, 429.34 and 275

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Solution

The fourth proportional to 285.80, 429.34 and 275 is: 413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.80 : 429.34 = 275 : x
  2. Step 2: Convert to fraction form
    285.80/429.34 = 275/x
  3. Step 3: Cross multiply
    285.80x = 429.34 × 275
  4. Step 4: Simplify right side
    285.80x = 118,068.50
  5. Step 5: Solve for x
    x = 118,068.50/285.80
  6. Step 6: Final answer
    x = 413.12

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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.