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Finding the Fourth Proportional to 503.40, 694.65 and 307.02

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Solution

The fourth proportional to 503.40, 694.65 and 307.02 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 694.65 = 307.02 : x
  2. Step 2: Convert to fraction form
    503.40/694.65 = 307.02/x
  3. Step 3: Cross multiply
    503.40x = 694.65 × 307.02
  4. Step 4: Simplify right side
    503.40x = 213,271.44
  5. Step 5: Solve for x
    x = 213,271.44/503.40
  6. Step 6: Final answer
    x = 423.66

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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.