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Finding the Fourth Proportional to 561.07, 841.20 and 286.93

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Solution

The fourth proportional to 561.07, 841.20 and 286.93 is: 430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.07 : 841.20 = 286.93 : x
  2. Step 2: Convert to fraction form
    561.07/841.20 = 286.93/x
  3. Step 3: Cross multiply
    561.07x = 841.20 × 286.93
  4. Step 4: Simplify right side
    561.07x = 241,365.52
  5. Step 5: Solve for x
    x = 241,365.52/561.07
  6. Step 6: Final answer
    x = 430.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.