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Finding the Fourth Proportional to 430.34, 593.51 and 264.49

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Solution

The fourth proportional to 430.34, 593.51 and 264.49 is: 364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.34 : 593.51 = 264.49 : x
  2. Step 2: Convert to fraction form
    430.34/593.51 = 264.49/x
  3. Step 3: Cross multiply
    430.34x = 593.51 × 264.49
  4. Step 4: Simplify right side
    430.34x = 156,974.65
  5. Step 5: Solve for x
    x = 156,974.65/430.34
  6. Step 6: Final answer
    x = 364.77

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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.