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Finding the Fourth Proportional to 573.16, 859.32 and 410.48

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Solution

The fourth proportional to 573.16, 859.32 and 410.48 is: 615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.16 : 859.32 = 410.48 : x
  2. Step 2: Convert to fraction form
    573.16/859.32 = 410.48/x
  3. Step 3: Cross multiply
    573.16x = 859.32 × 410.48
  4. Step 4: Simplify right side
    573.16x = 352,733.67
  5. Step 5: Solve for x
    x = 352,733.67/573.16
  6. Step 6: Final answer
    x = 615.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.