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Finding the Fourth Proportional to 594.02, 819.58 and 407.56

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Solution

The fourth proportional to 594.02, 819.58 and 407.56 is: 562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.02 : 819.58 = 407.56 : x
  2. Step 2: Convert to fraction form
    594.02/819.58 = 407.56/x
  3. Step 3: Cross multiply
    594.02x = 819.58 × 407.56
  4. Step 4: Simplify right side
    594.02x = 334,023.93
  5. Step 5: Solve for x
    x = 334,023.93/594.02
  6. Step 6: Final answer
    x = 562.31

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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.