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Finding the Fourth Proportional to 904.72, 1,356.66 and 442.52

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Solution

The fourth proportional to 904.72, 1,356.66 and 442.52 is: 663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.72 : 1,356.66 = 442.52 : x
  2. Step 2: Convert to fraction form
    904.72/1,356.66 = 442.52/x
  3. Step 3: Cross multiply
    904.72x = 1,356.66 × 442.52
  4. Step 4: Simplify right side
    904.72x = 600,349.18
  5. Step 5: Solve for x
    x = 600,349.18/904.72
  6. Step 6: Final answer
    x = 663.57

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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.