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Finding the Fourth Proportional to 569.86, 786.40 and 307.87

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Solution

The fourth proportional to 569.86, 786.40 and 307.87 is: 424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.86 : 786.40 = 307.87 : x
  2. Step 2: Convert to fraction form
    569.86/786.40 = 307.87/x
  3. Step 3: Cross multiply
    569.86x = 786.40 × 307.87
  4. Step 4: Simplify right side
    569.86x = 242,111.28
  5. Step 5: Solve for x
    x = 242,111.28/569.86
  6. Step 6: Final answer
    x = 424.86

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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.