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Finding the Fourth Proportional to 452.66, 678.99 and 429.58

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Solution

The fourth proportional to 452.66, 678.99 and 429.58 is: 644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.66 : 678.99 = 429.58 : x
  2. Step 2: Convert to fraction form
    452.66/678.99 = 429.58/x
  3. Step 3: Cross multiply
    452.66x = 678.99 × 429.58
  4. Step 4: Simplify right side
    452.66x = 291,677.13
  5. Step 5: Solve for x
    x = 291,677.13/452.66
  6. Step 6: Final answer
    x = 644.36

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