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Finding the Fourth Proportional to 503.01, 754.97 and 297.77

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Solution

The fourth proportional to 503.01, 754.97 and 297.77 is: 446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.01 : 754.97 = 297.77 : x
  2. Step 2: Convert to fraction form
    503.01/754.97 = 297.77/x
  3. Step 3: Cross multiply
    503.01x = 754.97 × 297.77
  4. Step 4: Simplify right side
    503.01x = 224,802.15
  5. Step 5: Solve for x
    x = 224,802.15/503.01
  6. Step 6: Final answer
    x = 446.91

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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.