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Finding the Fourth Proportional to 500.32, 689.58 and 412.06

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Solution

The fourth proportional to 500.32, 689.58 and 412.06 is: 567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.32 : 689.58 = 412.06 : x
  2. Step 2: Convert to fraction form
    500.32/689.58 = 412.06/x
  3. Step 3: Cross multiply
    500.32x = 689.58 × 412.06
  4. Step 4: Simplify right side
    500.32x = 284,148.33
  5. Step 5: Solve for x
    x = 284,148.33/500.32
  6. Step 6: Final answer
    x = 567.93

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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.