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Finding the Fourth Proportional to 503.80, 753.87 and 297.65

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Solution

The fourth proportional to 503.80, 753.87 and 297.65 is: 445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.80 : 753.87 = 297.65 : x
  2. Step 2: Convert to fraction form
    503.80/753.87 = 297.65/x
  3. Step 3: Cross multiply
    503.80x = 753.87 × 297.65
  4. Step 4: Simplify right side
    503.80x = 224,392.41
  5. Step 5: Solve for x
    x = 224,392.41/503.80
  6. Step 6: Final answer
    x = 445.40

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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.