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Finding the Fourth Proportional to 507.20, 761.00 and 416.07

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Solution

The fourth proportional to 507.20, 761.00 and 416.07 is: 624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.20 : 761.00 = 416.07 : x
  2. Step 2: Convert to fraction form
    507.20/761.00 = 416.07/x
  3. Step 3: Cross multiply
    507.20x = 761.00 × 416.07
  4. Step 4: Simplify right side
    507.20x = 316,627.19
  5. Step 5: Solve for x
    x = 316,627.19/507.20
  6. Step 6: Final answer
    x = 624.27

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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.