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Finding the Fourth Proportional to 504.83, 696.59 and 294.98

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Solution

The fourth proportional to 504.83, 696.59 and 294.98 is: 407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.83 : 696.59 = 294.98 : x
  2. Step 2: Convert to fraction form
    504.83/696.59 = 294.98/x
  3. Step 3: Cross multiply
    504.83x = 696.59 × 294.98
  4. Step 4: Simplify right side
    504.83x = 205,476.27
  5. Step 5: Solve for x
    x = 205,476.27/504.83
  6. Step 6: Final answer
    x = 407.02

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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.