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Finding the Fourth Proportional to 583.11, 875.00 and 538.00

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Solution

The fourth proportional to 583.11, 875.00 and 538.00 is: 807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.11 : 875.00 = 538.00 : x
  2. Step 2: Convert to fraction form
    583.11/875.00 = 538.00/x
  3. Step 3: Cross multiply
    583.11x = 875.00 × 538.00
  4. Step 4: Simplify right side
    583.11x = 470,751.62
  5. Step 5: Solve for x
    x = 470,751.62/583.11
  6. Step 6: Final answer
    x = 807.32

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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.