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Finding the Fourth Proportional to 569.10, 852.84 and 424.65

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Solution

The fourth proportional to 569.10, 852.84 and 424.65 is: 636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.10 : 852.84 = 424.65 : x
  2. Step 2: Convert to fraction form
    569.10/852.84 = 424.65/x
  3. Step 3: Cross multiply
    569.10x = 852.84 × 424.65
  4. Step 4: Simplify right side
    569.10x = 362,158.51
  5. Step 5: Solve for x
    x = 362,158.51/569.10
  6. Step 6: Final answer
    x = 636.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.