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Finding the Fourth Proportional to 507.94, 761.61 and 313.24

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Solution

The fourth proportional to 507.94, 761.61 and 313.24 is: 469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.94 : 761.61 = 313.24 : x
  2. Step 2: Convert to fraction form
    507.94/761.61 = 313.24/x
  3. Step 3: Cross multiply
    507.94x = 761.61 × 313.24
  4. Step 4: Simplify right side
    507.94x = 238,566.72
  5. Step 5: Solve for x
    x = 238,566.72/507.94
  6. Step 6: Final answer
    x = 469.67

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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.