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Finding the Fourth Proportional to 584, 808.96 and 570.56

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Solution

The fourth proportional to 584, 808.96 and 570.56 is: 790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    584 : 808.96 = 570.56 : x
  2. Step 2: Convert to fraction form
    584/808.96 = 570.56/x
  3. Step 3: Cross multiply
    584x = 808.96 × 570.56
  4. Step 4: Simplify right side
    584x = 461,560.22
  5. Step 5: Solve for x
    x = 461,560.22/584
  6. Step 6: Final answer
    x = 790.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.