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Finding the Fourth Proportional to 598.01, 901.30 and 564.52

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Solution

The fourth proportional to 598.01, 901.30 and 564.52 is: 850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 901.30 = 564.52 : x
  2. Step 2: Convert to fraction form
    598.01/901.30 = 564.52/x
  3. Step 3: Cross multiply
    598.01x = 901.30 × 564.52
  4. Step 4: Simplify right side
    598.01x = 508,802.55
  5. Step 5: Solve for x
    x = 508,802.55/598.01
  6. Step 6: Final answer
    x = 850.83

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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.