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Finding the Fourth Proportional to 595.98, 822.83 and 386.26

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Solution

The fourth proportional to 595.98, 822.83 and 386.26 is: 533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.98 : 822.83 = 386.26 : x
  2. Step 2: Convert to fraction form
    595.98/822.83 = 386.26/x
  3. Step 3: Cross multiply
    595.98x = 822.83 × 386.26
  4. Step 4: Simplify right side
    595.98x = 317,826.32
  5. Step 5: Solve for x
    x = 317,826.32/595.98
  6. Step 6: Final answer
    x = 533.28

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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.