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Finding the Fourth Proportional to 495.74, 684.06 and 296.58

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Solution

The fourth proportional to 495.74, 684.06 and 296.58 is: 409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.74 : 684.06 = 296.58 : x
  2. Step 2: Convert to fraction form
    495.74/684.06 = 296.58/x
  3. Step 3: Cross multiply
    495.74x = 684.06 × 296.58
  4. Step 4: Simplify right side
    495.74x = 202,878.51
  5. Step 5: Solve for x
    x = 202,878.51/495.74
  6. Step 6: Final answer
    x = 409.24

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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.