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Finding the Fourth Proportional to 602.42, 901.35 and 364.08

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Solution

The fourth proportional to 602.42, 901.35 and 364.08 is: 544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 901.35 = 364.08 : x
  2. Step 2: Convert to fraction form
    602.42/901.35 = 364.08/x
  3. Step 3: Cross multiply
    602.42x = 901.35 × 364.08
  4. Step 4: Simplify right side
    602.42x = 328,163.51
  5. Step 5: Solve for x
    x = 328,163.51/602.42
  6. Step 6: Final answer
    x = 544.74

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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.