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Finding the Fourth Proportional to 663.51, 915.80 and 430.23

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Solution

The fourth proportional to 663.51, 915.80 and 430.23 is: 593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.51 : 915.80 = 430.23 : x
  2. Step 2: Convert to fraction form
    663.51/915.80 = 430.23/x
  3. Step 3: Cross multiply
    663.51x = 915.80 × 430.23
  4. Step 4: Simplify right side
    663.51x = 394,002.48
  5. Step 5: Solve for x
    x = 394,002.48/663.51
  6. Step 6: Final answer
    x = 593.82

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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.