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Finding the Fourth Proportional to 509.30, 703.10 and 383.96

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Solution

The fourth proportional to 509.30, 703.10 and 383.96 is: 530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 703.10 = 383.96 : x
  2. Step 2: Convert to fraction form
    509.30/703.10 = 383.96/x
  3. Step 3: Cross multiply
    509.30x = 703.10 × 383.96
  4. Step 4: Simplify right side
    509.30x = 269,964.99
  5. Step 5: Solve for x
    x = 269,964.99/509.30
  6. Step 6: Final answer
    x = 530.08

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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.