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Finding the Fourth Proportional to 507.70, 760.86 and 457.12

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Solution

The fourth proportional to 507.70, 760.86 and 457.12 is: 685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.70 : 760.86 = 457.12 : x
  2. Step 2: Convert to fraction form
    507.70/760.86 = 457.12/x
  3. Step 3: Cross multiply
    507.70x = 760.86 × 457.12
  4. Step 4: Simplify right side
    507.70x = 347,804.32
  5. Step 5: Solve for x
    x = 347,804.32/507.70
  6. Step 6: Final answer
    x = 685.06

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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.