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Finding the Fourth Proportional to 434.74, 651.50 and 318.50

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Solution

The fourth proportional to 434.74, 651.50 and 318.50 is: 477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.74 : 651.50 = 318.50 : x
  2. Step 2: Convert to fraction form
    434.74/651.50 = 318.50/x
  3. Step 3: Cross multiply
    434.74x = 651.50 × 318.50
  4. Step 4: Simplify right side
    434.74x = 207,502.75
  5. Step 5: Solve for x
    x = 207,502.75/434.74
  6. Step 6: Final answer
    x = 477.30

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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.