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Finding the Fourth Proportional to 594.19, 820.14 and 358.16

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Solution

The fourth proportional to 594.19, 820.14 and 358.16 is: 494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.19 : 820.14 = 358.16 : x
  2. Step 2: Convert to fraction form
    594.19/820.14 = 358.16/x
  3. Step 3: Cross multiply
    594.19x = 820.14 × 358.16
  4. Step 4: Simplify right side
    594.19x = 293,737.91
  5. Step 5: Solve for x
    x = 293,737.91/594.19
  6. Step 6: Final answer
    x = 494.35

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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.