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Finding the Fourth Proportional to 579.10, 798.75 and 358.17

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Solution

The fourth proportional to 579.10, 798.75 and 358.17 is: 494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.10 : 798.75 = 358.17 : x
  2. Step 2: Convert to fraction form
    579.10/798.75 = 358.17/x
  3. Step 3: Cross multiply
    579.10x = 798.75 × 358.17
  4. Step 4: Simplify right side
    579.10x = 286,088.29
  5. Step 5: Solve for x
    x = 286,088.29/579.10
  6. Step 6: Final answer
    x = 494.02

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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.