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Finding the Fourth Proportional to 509.94, 704.03 and 352.50

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Solution

The fourth proportional to 509.94, 704.03 and 352.50 is: 486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 704.03 = 352.50 : x
  2. Step 2: Convert to fraction form
    509.94/704.03 = 352.50/x
  3. Step 3: Cross multiply
    509.94x = 704.03 × 352.50
  4. Step 4: Simplify right side
    509.94x = 248,168.81
  5. Step 5: Solve for x
    x = 248,168.81/509.94
  6. Step 6: Final answer
    x = 486.66

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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.