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Finding the Fourth Proportional to 430.34, 644.94 and 314.95

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Solution

The fourth proportional to 430.34, 644.94 and 314.95 is: 472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.34 : 644.94 = 314.95 : x
  2. Step 2: Convert to fraction form
    430.34/644.94 = 314.95/x
  3. Step 3: Cross multiply
    430.34x = 644.94 × 314.95
  4. Step 4: Simplify right side
    430.34x = 203,123.47
  5. Step 5: Solve for x
    x = 203,123.47/430.34
  6. Step 6: Final answer
    x = 472.01

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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.