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Finding the Fourth Proportional to 504.02, 756.02 and 464.38

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Solution

The fourth proportional to 504.02, 756.02 and 464.38 is: 696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.02 : 756.02 = 464.38 : x
  2. Step 2: Convert to fraction form
    504.02/756.02 = 464.38/x
  3. Step 3: Cross multiply
    504.02x = 756.02 × 464.38
  4. Step 4: Simplify right side
    504.02x = 351,079.84
  5. Step 5: Solve for x
    x = 351,079.84/504.02
  6. Step 6: Final answer
    x = 696.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.