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Finding the Fourth Proportional to 650.63, 897.95 and 430.04

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Solution

The fourth proportional to 650.63, 897.95 and 430.04 is: 593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.63 : 897.95 = 430.04 : x
  2. Step 2: Convert to fraction form
    650.63/897.95 = 430.04/x
  3. Step 3: Cross multiply
    650.63x = 897.95 × 430.04
  4. Step 4: Simplify right side
    650.63x = 386,154.42
  5. Step 5: Solve for x
    x = 386,154.42/650.63
  6. Step 6: Final answer
    x = 593.51

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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.