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Finding the Fourth Proportional to 430.07, 593.50 and 233.58

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Solution

The fourth proportional to 430.07, 593.50 and 233.58 is: 322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.07 : 593.50 = 233.58 : x
  2. Step 2: Convert to fraction form
    430.07/593.50 = 233.58/x
  3. Step 3: Cross multiply
    430.07x = 593.50 × 233.58
  4. Step 4: Simplify right side
    430.07x = 138,632.25
  5. Step 5: Solve for x
    x = 138,632.25/430.07
  6. Step 6: Final answer
    x = 322.35

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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.