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Finding the Fourth Proportional to 569.23, 785.30 and 458.87

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Solution

The fourth proportional to 569.23, 785.30 and 458.87 is: 633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.23 : 785.30 = 458.87 : x
  2. Step 2: Convert to fraction form
    569.23/785.30 = 458.87/x
  3. Step 3: Cross multiply
    569.23x = 785.30 × 458.87
  4. Step 4: Simplify right side
    569.23x = 360,344.39
  5. Step 5: Solve for x
    x = 360,344.39/569.23
  6. Step 6: Final answer
    x = 633.04

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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.