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Finding the Fourth Proportional to 430.16, 593.60 and 233.66

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Solution

The fourth proportional to 430.16, 593.60 and 233.66 is: 322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.16 : 593.60 = 233.66 : x
  2. Step 2: Convert to fraction form
    430.16/593.60 = 233.66/x
  3. Step 3: Cross multiply
    430.16x = 593.60 × 233.66
  4. Step 4: Simplify right side
    430.16x = 138,700.58
  5. Step 5: Solve for x
    x = 138,700.58/430.16
  6. Step 6: Final answer
    x = 322.44

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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.