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Finding the Fourth Proportional to 523.30, 785.40 and 420.70

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Solution

The fourth proportional to 523.30, 785.40 and 420.70 is: 631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.30 : 785.40 = 420.70 : x
  2. Step 2: Convert to fraction form
    523.30/785.40 = 420.70/x
  3. Step 3: Cross multiply
    523.30x = 785.40 × 420.70
  4. Step 4: Simplify right side
    523.30x = 330,417.78
  5. Step 5: Solve for x
    x = 330,417.78/523.30
  6. Step 6: Final answer
    x = 631.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.