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Finding the Fourth Proportional to 575.94, 859.74 and 533.12

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Solution

The fourth proportional to 575.94, 859.74 and 533.12 is: 795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.94 : 859.74 = 533.12 : x
  2. Step 2: Convert to fraction form
    575.94/859.74 = 533.12/x
  3. Step 3: Cross multiply
    575.94x = 859.74 × 533.12
  4. Step 4: Simplify right side
    575.94x = 458,340.29
  5. Step 5: Solve for x
    x = 458,340.29/575.94
  6. Step 6: Final answer
    x = 795.81

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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.