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Finding the Fourth Proportional to 654.02, 900.33 and 506.37

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Solution

The fourth proportional to 654.02, 900.33 and 506.37 is: 697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.02 : 900.33 = 506.37 : x
  2. Step 2: Convert to fraction form
    654.02/900.33 = 506.37/x
  3. Step 3: Cross multiply
    654.02x = 900.33 × 506.37
  4. Step 4: Simplify right side
    654.02x = 455,900.10
  5. Step 5: Solve for x
    x = 455,900.10/654.02
  6. Step 6: Final answer
    x = 697.08

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Why These Related Problems?

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