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Finding the Fourth Proportional to 593.94, 819.93 and 407.50

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Solution

The fourth proportional to 593.94, 819.93 and 407.50 is: 562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.94 : 819.93 = 407.50 : x
  2. Step 2: Convert to fraction form
    593.94/819.93 = 407.50/x
  3. Step 3: Cross multiply
    593.94x = 819.93 × 407.50
  4. Step 4: Simplify right side
    593.94x = 334,121.48
  5. Step 5: Solve for x
    x = 334,121.48/593.94
  6. Step 6: Final answer
    x = 562.55

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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.