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Finding the Fourth Proportional to 594.44, 815.93 and 569.07

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Solution

The fourth proportional to 594.44, 815.93 and 569.07 is: 781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.44 : 815.93 = 569.07 : x
  2. Step 2: Convert to fraction form
    594.44/815.93 = 569.07/x
  3. Step 3: Cross multiply
    594.44x = 815.93 × 569.07
  4. Step 4: Simplify right side
    594.44x = 464,319.88
  5. Step 5: Solve for x
    x = 464,319.88/594.44
  6. Step 6: Final answer
    x = 781.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.