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Finding the Fourth Proportional to 509.92, 703.72 and 300.24

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Solution

The fourth proportional to 509.92, 703.72 and 300.24 is: 414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 703.72 = 300.24 : x
  2. Step 2: Convert to fraction form
    509.92/703.72 = 300.24/x
  3. Step 3: Cross multiply
    509.92x = 703.72 × 300.24
  4. Step 4: Simplify right side
    509.92x = 211,284.89
  5. Step 5: Solve for x
    x = 211,284.89/509.92
  6. Step 6: Final answer
    x = 414.35

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Why These Related Problems?

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