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Finding the Fourth Proportional to 500.94, 691.65 and 412.53

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Solution

The fourth proportional to 500.94, 691.65 and 412.53 is: 569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.94 : 691.65 = 412.53 : x
  2. Step 2: Convert to fraction form
    500.94/691.65 = 412.53/x
  3. Step 3: Cross multiply
    500.94x = 691.65 × 412.53
  4. Step 4: Simplify right side
    500.94x = 285,326.37
  5. Step 5: Solve for x
    x = 285,326.37/500.94
  6. Step 6: Final answer
    x = 569.58

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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.