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Finding the Fourth Proportional to 570.54, 785.91 and 528.54

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Solution

The fourth proportional to 570.54, 785.91 and 528.54 is: 728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.54 : 785.91 = 528.54 : x
  2. Step 2: Convert to fraction form
    570.54/785.91 = 528.54/x
  3. Step 3: Cross multiply
    570.54x = 785.91 × 528.54
  4. Step 4: Simplify right side
    570.54x = 415,384.87
  5. Step 5: Solve for x
    x = 415,384.87/570.54
  6. Step 6: Final answer
    x = 728.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.