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Finding the Fourth Proportional to 500.48, 690.74 and 301.40

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Solution

The fourth proportional to 500.48, 690.74 and 301.40 is: 415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.48 : 690.74 = 301.40 : x
  2. Step 2: Convert to fraction form
    500.48/690.74 = 301.40/x
  3. Step 3: Cross multiply
    500.48x = 690.74 × 301.40
  4. Step 4: Simplify right side
    500.48x = 208,184.08
  5. Step 5: Solve for x
    x = 208,184.08/500.48
  6. Step 6: Final answer
    x = 415.97

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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.