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Finding the Fourth Proportional to 503.24, 694.76 and 384.99

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Solution

The fourth proportional to 503.24, 694.76 and 384.99 is: 531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.24 : 694.76 = 384.99 : x
  2. Step 2: Convert to fraction form
    503.24/694.76 = 384.99/x
  3. Step 3: Cross multiply
    503.24x = 694.76 × 384.99
  4. Step 4: Simplify right side
    503.24x = 267,473.73
  5. Step 5: Solve for x
    x = 267,473.73/503.24
  6. Step 6: Final answer
    x = 531.50

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1.5x scale

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.