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Finding the Fourth Proportional to 504.12, 759.93 and 470.67

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Solution

The fourth proportional to 504.12, 759.93 and 470.67 is: 709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.12 : 759.93 = 470.67 : x
  2. Step 2: Convert to fraction form
    504.12/759.93 = 470.67/x
  3. Step 3: Cross multiply
    504.12x = 759.93 × 470.67
  4. Step 4: Simplify right side
    504.12x = 357,676.25
  5. Step 5: Solve for x
    x = 357,676.25/504.12
  6. Step 6: Final answer
    x = 709.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.