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Finding the Fourth Proportional to 442.50, 610.84 and 302.57

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Solution

The fourth proportional to 442.50, 610.84 and 302.57 is: 417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.50 : 610.84 = 302.57 : x
  2. Step 2: Convert to fraction form
    442.50/610.84 = 302.57/x
  3. Step 3: Cross multiply
    442.50x = 610.84 × 302.57
  4. Step 4: Simplify right side
    442.50x = 184,821.47
  5. Step 5: Solve for x
    x = 184,821.47/442.50
  6. Step 6: Final answer
    x = 417.68

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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.