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Finding the Fourth Proportional to 593.84, 894.81 and 488.00

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Solution

The fourth proportional to 593.84, 894.81 and 488.00 is: 735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 894.81 = 488.00 : x
  2. Step 2: Convert to fraction form
    593.84/894.81 = 488.00/x
  3. Step 3: Cross multiply
    593.84x = 894.81 × 488.00
  4. Step 4: Simplify right side
    593.84x = 436,660.98
  5. Step 5: Solve for x
    x = 436,660.98/593.84
  6. Step 6: Final answer
    x = 735.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.