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Finding the Fourth Proportional to 618.01, 852.87 and 590.32

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Solution

The fourth proportional to 618.01, 852.87 and 590.32 is: 814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.01 : 852.87 = 590.32 : x
  2. Step 2: Convert to fraction form
    618.01/852.87 = 590.32/x
  3. Step 3: Cross multiply
    618.01x = 852.87 × 590.32
  4. Step 4: Simplify right side
    618.01x = 503,466.22
  5. Step 5: Solve for x
    x = 503,466.22/618.01
  6. Step 6: Final answer
    x = 814.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.