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Finding the Fourth Proportional to 562.90, 776.73 and 415.60

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Solution

The fourth proportional to 562.90, 776.73 and 415.60 is: 573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.90 : 776.73 = 415.60 : x
  2. Step 2: Convert to fraction form
    562.90/776.73 = 415.60/x
  3. Step 3: Cross multiply
    562.90x = 776.73 × 415.60
  4. Step 4: Simplify right side
    562.90x = 322,808.99
  5. Step 5: Solve for x
    x = 322,808.99/562.90
  6. Step 6: Final answer
    x = 573.47

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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.