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Finding the Fourth Proportional to 575.90, 864.57 and 283.69

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Solution

The fourth proportional to 575.90, 864.57 and 283.69 is: 425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.90 : 864.57 = 283.69 : x
  2. Step 2: Convert to fraction form
    575.90/864.57 = 283.69/x
  3. Step 3: Cross multiply
    575.90x = 864.57 × 283.69
  4. Step 4: Simplify right side
    575.90x = 245,270.35
  5. Step 5: Solve for x
    x = 245,270.35/575.90
  6. Step 6: Final answer
    x = 425.89

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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.