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Finding the Fourth Proportional to 714.18, 985.59 and 452.28

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Solution

The fourth proportional to 714.18, 985.59 and 452.28 is: 624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.18 : 985.59 = 452.28 : x
  2. Step 2: Convert to fraction form
    714.18/985.59 = 452.28/x
  3. Step 3: Cross multiply
    714.18x = 985.59 × 452.28
  4. Step 4: Simplify right side
    714.18x = 445,762.65
  5. Step 5: Solve for x
    x = 445,762.65/714.18
  6. Step 6: Final answer
    x = 624.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.