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Finding the Fourth Proportional to 566.39, 785.24 and 546.35

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Solution

The fourth proportional to 566.39, 785.24 and 546.35 is: 757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.39 : 785.24 = 546.35 : x
  2. Step 2: Convert to fraction form
    566.39/785.24 = 546.35/x
  3. Step 3: Cross multiply
    566.39x = 785.24 × 546.35
  4. Step 4: Simplify right side
    566.39x = 429,013.31
  5. Step 5: Solve for x
    x = 429,013.31/566.39
  6. Step 6: Final answer
    x = 757.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.