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Finding the Fourth Proportional to 569.12, 786.04 and 465.44

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Solution

The fourth proportional to 569.12, 786.04 and 465.44 is: 642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 786.04 = 465.44 : x
  2. Step 2: Convert to fraction form
    569.12/786.04 = 465.44/x
  3. Step 3: Cross multiply
    569.12x = 786.04 × 465.44
  4. Step 4: Simplify right side
    569.12x = 365,854.46
  5. Step 5: Solve for x
    x = 365,854.46/569.12
  6. Step 6: Final answer
    x = 642.84

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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.