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Finding the Fourth Proportional to 562.61, 777.48 and 405.77

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Solution

The fourth proportional to 562.61, 777.48 and 405.77 is: 560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.61 : 777.48 = 405.77 : x
  2. Step 2: Convert to fraction form
    562.61/777.48 = 405.77/x
  3. Step 3: Cross multiply
    562.61x = 777.48 × 405.77
  4. Step 4: Simplify right side
    562.61x = 315,478.06
  5. Step 5: Solve for x
    x = 315,478.06/562.61
  6. Step 6: Final answer
    x = 560.74

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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.