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Finding the Fourth Proportional to 593.31, 885.86 and 524.06

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Solution

The fourth proportional to 593.31, 885.86 and 524.06 is: 782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.31 : 885.86 = 524.06 : x
  2. Step 2: Convert to fraction form
    593.31/885.86 = 524.06/x
  3. Step 3: Cross multiply
    593.31x = 885.86 × 524.06
  4. Step 4: Simplify right side
    593.31x = 464,243.79
  5. Step 5: Solve for x
    x = 464,243.79/593.31
  6. Step 6: Final answer
    x = 782.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.