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Finding the Fourth Proportional to 565, 845.58 and 533.44

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Solution

The fourth proportional to 565, 845.58 and 533.44 is: 798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 845.58 = 533.44 : x
  2. Step 2: Convert to fraction form
    565/845.58 = 533.44/x
  3. Step 3: Cross multiply
    565x = 845.58 × 533.44
  4. Step 4: Simplify right side
    565x = 451,066.20
  5. Step 5: Solve for x
    x = 451,066.20/565
  6. Step 6: Final answer
    x = 798.35

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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.