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Finding the Fourth Proportional to 504.94, 696.75 and 295.07

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Solution

The fourth proportional to 504.94, 696.75 and 295.07 is: 407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.94 : 696.75 = 295.07 : x
  2. Step 2: Convert to fraction form
    504.94/696.75 = 295.07/x
  3. Step 3: Cross multiply
    504.94x = 696.75 × 295.07
  4. Step 4: Simplify right side
    504.94x = 205,591.76
  5. Step 5: Solve for x
    x = 205,591.76/504.94
  6. Step 6: Final answer
    x = 407.16

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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.