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Finding the Fourth Proportional to 504.10, 695.91 and 329.71

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Solution

The fourth proportional to 504.10, 695.91 and 329.71 is: 455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 695.91 = 329.71 : x
  2. Step 2: Convert to fraction form
    504.10/695.91 = 329.71/x
  3. Step 3: Cross multiply
    504.10x = 695.91 × 329.71
  4. Step 4: Simplify right side
    504.10x = 229,448.49
  5. Step 5: Solve for x
    x = 229,448.49/504.10
  6. Step 6: Final answer
    x = 455.16

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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.