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Finding the Fourth Proportional to 601.08, 899.76 and 471.45

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Solution

The fourth proportional to 601.08, 899.76 and 471.45 is: 705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.08 : 899.76 = 471.45 : x
  2. Step 2: Convert to fraction form
    601.08/899.76 = 471.45/x
  3. Step 3: Cross multiply
    601.08x = 899.76 × 471.45
  4. Step 4: Simplify right side
    601.08x = 424,191.85
  5. Step 5: Solve for x
    x = 424,191.85/601.08
  6. Step 6: Final answer
    x = 705.72

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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.