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Finding the Fourth Proportional to 512.37, 705.60 and 510.75

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Solution

The fourth proportional to 512.37, 705.60 and 510.75 is: 703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.37 : 705.60 = 510.75 : x
  2. Step 2: Convert to fraction form
    512.37/705.60 = 510.75/x
  3. Step 3: Cross multiply
    512.37x = 705.60 × 510.75
  4. Step 4: Simplify right side
    512.37x = 360,385.20
  5. Step 5: Solve for x
    x = 360,385.20/512.37
  6. Step 6: Final answer
    x = 703.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.