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Finding the Fourth Proportional to 904.24, 1,356.36 and 471.34

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Solution

The fourth proportional to 904.24, 1,356.36 and 471.34 is: 707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.24 : 1,356.36 = 471.34 : x
  2. Step 2: Convert to fraction form
    904.24/1,356.36 = 471.34/x
  3. Step 3: Cross multiply
    904.24x = 1,356.36 × 471.34
  4. Step 4: Simplify right side
    904.24x = 639,301.56
  5. Step 5: Solve for x
    x = 639,301.56/904.24
  6. Step 6: Final answer
    x = 707.01

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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.