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Finding the Fourth Proportional to 654.38, 904.02 and 430.84

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Solution

The fourth proportional to 654.38, 904.02 and 430.84 is: 595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.38 : 904.02 = 430.84 : x
  2. Step 2: Convert to fraction form
    654.38/904.02 = 430.84/x
  3. Step 3: Cross multiply
    654.38x = 904.02 × 430.84
  4. Step 4: Simplify right side
    654.38x = 389,487.98
  5. Step 5: Solve for x
    x = 389,487.98/654.38
  6. Step 6: Final answer
    x = 595.20

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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.