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Finding the Fourth Proportional to 590, 885.48 and 362.48

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Solution

The fourth proportional to 590, 885.48 and 362.48 is: 544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 885.48 = 362.48 : x
  2. Step 2: Convert to fraction form
    590/885.48 = 362.48/x
  3. Step 3: Cross multiply
    590x = 885.48 × 362.48
  4. Step 4: Simplify right side
    590x = 320,968.79
  5. Step 5: Solve for x
    x = 320,968.79/590
  6. Step 6: Final answer
    x = 544.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.