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Finding the Fourth Proportional to 570.90, 857.52 and 469.62

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Solution

The fourth proportional to 570.90, 857.52 and 469.62 is: 705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.90 : 857.52 = 469.62 : x
  2. Step 2: Convert to fraction form
    570.90/857.52 = 469.62/x
  3. Step 3: Cross multiply
    570.90x = 857.52 × 469.62
  4. Step 4: Simplify right side
    570.90x = 402,708.54
  5. Step 5: Solve for x
    x = 402,708.54/570.90
  6. Step 6: Final answer
    x = 705.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.