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Finding the Fourth Proportional to 430.30, 593.73 and 264.64

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Solution

The fourth proportional to 430.30, 593.73 and 264.64 is: 365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.30 : 593.73 = 264.64 : x
  2. Step 2: Convert to fraction form
    430.30/593.73 = 264.64/x
  3. Step 3: Cross multiply
    430.30x = 593.73 × 264.64
  4. Step 4: Simplify right side
    430.30x = 157,124.71
  5. Step 5: Solve for x
    x = 157,124.71/430.30
  6. Step 6: Final answer
    x = 365.15

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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.