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Finding the Fourth Proportional to 430.44, 593.53 and 340.55

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Solution

The fourth proportional to 430.44, 593.53 and 340.55 is: 469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.44 : 593.53 = 340.55 : x
  2. Step 2: Convert to fraction form
    430.44/593.53 = 340.55/x
  3. Step 3: Cross multiply
    430.44x = 593.53 × 340.55
  4. Step 4: Simplify right side
    430.44x = 202,130.64
  5. Step 5: Solve for x
    x = 202,130.64/430.44
  6. Step 6: Final answer
    x = 469.59

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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.