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Finding the Fourth Proportional to 504.69, 696.50 and 330.13

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Solution

The fourth proportional to 504.69, 696.50 and 330.13 is: 455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.69 : 696.50 = 330.13 : x
  2. Step 2: Convert to fraction form
    504.69/696.50 = 330.13/x
  3. Step 3: Cross multiply
    504.69x = 696.50 × 330.13
  4. Step 4: Simplify right side
    504.69x = 229,935.55
  5. Step 5: Solve for x
    x = 229,935.55/504.69
  6. Step 6: Final answer
    x = 455.60

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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.