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Finding the Fourth Proportional to 575.94, 859.73 and 533.11

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Solution

The fourth proportional to 575.94, 859.73 and 533.11 is: 795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.94 : 859.73 = 533.11 : x
  2. Step 2: Convert to fraction form
    575.94/859.73 = 533.11/x
  3. Step 3: Cross multiply
    575.94x = 859.73 × 533.11
  4. Step 4: Simplify right side
    575.94x = 458,330.66
  5. Step 5: Solve for x
    x = 458,330.66/575.94
  6. Step 6: Final answer
    x = 795.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.