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Finding the Fourth Proportional to 583.50, 805.32 and 444.36

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Solution

The fourth proportional to 583.50, 805.32 and 444.36 is: 613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 805.32 = 444.36 : x
  2. Step 2: Convert to fraction form
    583.50/805.32 = 444.36/x
  3. Step 3: Cross multiply
    583.50x = 805.32 × 444.36
  4. Step 4: Simplify right side
    583.50x = 357,852.00
  5. Step 5: Solve for x
    x = 357,852.00/583.50
  6. Step 6: Final answer
    x = 613.29

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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.