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Finding the Fourth Proportional to 601.22, 900.84 and 384.32

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Solution

The fourth proportional to 601.22, 900.84 and 384.32 is: 575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.22 : 900.84 = 384.32 : x
  2. Step 2: Convert to fraction form
    601.22/900.84 = 384.32/x
  3. Step 3: Cross multiply
    601.22x = 900.84 × 384.32
  4. Step 4: Simplify right side
    601.22x = 346,210.83
  5. Step 5: Solve for x
    x = 346,210.83/601.22
  6. Step 6: Final answer
    x = 575.85

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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.