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Finding the Fourth Proportional to 654.99, 903.36 and 434.04

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Solution

The fourth proportional to 654.99, 903.36 and 434.04 is: 598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.99 : 903.36 = 434.04 : x
  2. Step 2: Convert to fraction form
    654.99/903.36 = 434.04/x
  3. Step 3: Cross multiply
    654.99x = 903.36 × 434.04
  4. Step 4: Simplify right side
    654.99x = 392,094.37
  5. Step 5: Solve for x
    x = 392,094.37/654.99
  6. Step 6: Final answer
    x = 598.63

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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.