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Finding the Fourth Proportional to 504.69, 696.54 and 294.99

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Solution

The fourth proportional to 504.69, 696.54 and 294.99 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.69 : 696.54 = 294.99 : x
  2. Step 2: Convert to fraction form
    504.69/696.54 = 294.99/x
  3. Step 3: Cross multiply
    504.69x = 696.54 × 294.99
  4. Step 4: Simplify right side
    504.69x = 205,472.33
  5. Step 5: Solve for x
    x = 205,472.33/504.69
  6. Step 6: Final answer
    x = 407.13

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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.