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Finding the Fourth Proportional to 570.06, 853.74 and 556.29

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Solution

The fourth proportional to 570.06, 853.74 and 556.29 is: 833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.06 : 853.74 = 556.29 : x
  2. Step 2: Convert to fraction form
    570.06/853.74 = 556.29/x
  3. Step 3: Cross multiply
    570.06x = 853.74 × 556.29
  4. Step 4: Simplify right side
    570.06x = 474,927.02
  5. Step 5: Solve for x
    x = 474,927.02/570.06
  6. Step 6: Final answer
    x = 833.12

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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.