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Finding the Fourth Proportional to 651.99, 900.35 and 419.52

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Solution

The fourth proportional to 651.99, 900.35 and 419.52 is: 579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.99 : 900.35 = 419.52 : x
  2. Step 2: Convert to fraction form
    651.99/900.35 = 419.52/x
  3. Step 3: Cross multiply
    651.99x = 900.35 × 419.52
  4. Step 4: Simplify right side
    651.99x = 377,714.83
  5. Step 5: Solve for x
    x = 377,714.83/651.99
  6. Step 6: Final answer
    x = 579.33

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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.