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Finding the Fourth Proportional to 561.51, 846.78 and 557.87

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Solution

The fourth proportional to 561.51, 846.78 and 557.87 is: 841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.51 : 846.78 = 557.87 : x
  2. Step 2: Convert to fraction form
    561.51/846.78 = 557.87/x
  3. Step 3: Cross multiply
    561.51x = 846.78 × 557.87
  4. Step 4: Simplify right side
    561.51x = 472,388.92
  5. Step 5: Solve for x
    x = 472,388.92/561.51
  6. Step 6: Final answer
    x = 841.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.