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Finding the Fourth Proportional to 509.04, 703.08 and 362.31

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Solution

The fourth proportional to 509.04, 703.08 and 362.31 is: 500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 703.08 = 362.31 : x
  2. Step 2: Convert to fraction form
    509.04/703.08 = 362.31/x
  3. Step 3: Cross multiply
    509.04x = 703.08 × 362.31
  4. Step 4: Simplify right side
    509.04x = 254,732.91
  5. Step 5: Solve for x
    x = 254,732.91/509.04
  6. Step 6: Final answer
    x = 500.42

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1.5x scale

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.