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Finding the Fourth Proportional to 654.92, 904.02 and 433.94

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Solution

The fourth proportional to 654.92, 904.02 and 433.94 is: 598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.92 : 904.02 = 433.94 : x
  2. Step 2: Convert to fraction form
    654.92/904.02 = 433.94/x
  3. Step 3: Cross multiply
    654.92x = 904.02 × 433.94
  4. Step 4: Simplify right side
    654.92x = 392,291.82
  5. Step 5: Solve for x
    x = 392,291.82/654.92
  6. Step 6: Final answer
    x = 598.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.