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Finding the Fourth Proportional to 430.02, 593.43 and 233.53

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Solution

The fourth proportional to 430.02, 593.43 and 233.53 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.02 : 593.43 = 233.53 : x
  2. Step 2: Convert to fraction form
    430.02/593.43 = 233.53/x
  3. Step 3: Cross multiply
    430.02x = 593.43 × 233.53
  4. Step 4: Simplify right side
    430.02x = 138,582.54
  5. Step 5: Solve for x
    x = 138,582.54/430.02
  6. Step 6: Final answer
    x = 322.27

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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.