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Finding the Fourth Proportional to 562.36, 776.53 and 469.60

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Solution

The fourth proportional to 562.36, 776.53 and 469.60 is: 648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.36 : 776.53 = 469.60 : x
  2. Step 2: Convert to fraction form
    562.36/776.53 = 469.60/x
  3. Step 3: Cross multiply
    562.36x = 776.53 × 469.60
  4. Step 4: Simplify right side
    562.36x = 364,658.49
  5. Step 5: Solve for x
    x = 364,658.49/562.36
  6. Step 6: Final answer
    x = 648.44

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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.