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Finding the Fourth Proportional to 594.21, 820.19 and 373.16

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Solution

The fourth proportional to 594.21, 820.19 and 373.16 is: 515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.21 : 820.19 = 373.16 : x
  2. Step 2: Convert to fraction form
    594.21/820.19 = 373.16/x
  3. Step 3: Cross multiply
    594.21x = 820.19 × 373.16
  4. Step 4: Simplify right side
    594.21x = 306,056.13
  5. Step 5: Solve for x
    x = 306,056.13/594.21
  6. Step 6: Final answer
    x = 515.06

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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.