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Finding the Fourth Proportional to 556.92, 767.90 and 407.28

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Solution

The fourth proportional to 556.92, 767.90 and 407.28 is: 561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 767.90 = 407.28 : x
  2. Step 2: Convert to fraction form
    556.92/767.90 = 407.28/x
  3. Step 3: Cross multiply
    556.92x = 767.90 × 407.28
  4. Step 4: Simplify right side
    556.92x = 312,750.31
  5. Step 5: Solve for x
    x = 312,750.31/556.92
  6. Step 6: Final answer
    x = 561.57

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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.