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Finding the Fourth Proportional to 509.40, 701.68 and 474.08

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Solution

The fourth proportional to 509.40, 701.68 and 474.08 is: 653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 701.68 = 474.08 : x
  2. Step 2: Convert to fraction form
    509.40/701.68 = 474.08/x
  3. Step 3: Cross multiply
    509.40x = 701.68 × 474.08
  4. Step 4: Simplify right side
    509.40x = 332,652.45
  5. Step 5: Solve for x
    x = 332,652.45/509.40
  6. Step 6: Final answer
    x = 653.03

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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.