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Finding the Fourth Proportional to 632.58, 946.32 and 566.94

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Solution

The fourth proportional to 632.58, 946.32 and 566.94 is: 848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 946.32 = 566.94 : x
  2. Step 2: Convert to fraction form
    632.58/946.32 = 566.94/x
  3. Step 3: Cross multiply
    632.58x = 946.32 × 566.94
  4. Step 4: Simplify right side
    632.58x = 536,506.66
  5. Step 5: Solve for x
    x = 536,506.66/632.58
  6. Step 6: Final answer
    x = 848.12

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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.