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Finding the Fourth Proportional to 573.45, 790.50 and 407.13

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Solution

The fourth proportional to 573.45, 790.50 and 407.13 is: 561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.45 : 790.50 = 407.13 : x
  2. Step 2: Convert to fraction form
    573.45/790.50 = 407.13/x
  3. Step 3: Cross multiply
    573.45x = 790.50 × 407.13
  4. Step 4: Simplify right side
    573.45x = 321,836.27
  5. Step 5: Solve for x
    x = 321,836.27/573.45
  6. Step 6: Final answer
    x = 561.23

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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.