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Finding the Fourth Proportional to 562.33, 776.77 and 509.93

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Solution

The fourth proportional to 562.33, 776.77 and 509.93 is: 704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.33 : 776.77 = 509.93 : x
  2. Step 2: Convert to fraction form
    562.33/776.77 = 509.93/x
  3. Step 3: Cross multiply
    562.33x = 776.77 × 509.93
  4. Step 4: Simplify right side
    562.33x = 396,102.51
  5. Step 5: Solve for x
    x = 396,102.51/562.33
  6. Step 6: Final answer
    x = 704.39

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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.