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Finding the Fourth Proportional to 582.53, 803.97 and 533.32

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Solution

The fourth proportional to 582.53, 803.97 and 533.32 is: 736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.53 : 803.97 = 533.32 : x
  2. Step 2: Convert to fraction form
    582.53/803.97 = 533.32/x
  3. Step 3: Cross multiply
    582.53x = 803.97 × 533.32
  4. Step 4: Simplify right side
    582.53x = 428,773.28
  5. Step 5: Solve for x
    x = 428,773.28/582.53
  6. Step 6: Final answer
    x = 736.05

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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.