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Finding the Fourth Proportional to 714.41, 985.23 and 465.64

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Solution

The fourth proportional to 714.41, 985.23 and 465.64 is: 642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.41 : 985.23 = 465.64 : x
  2. Step 2: Convert to fraction form
    714.41/985.23 = 465.64/x
  3. Step 3: Cross multiply
    714.41x = 985.23 × 465.64
  4. Step 4: Simplify right side
    714.41x = 458,762.50
  5. Step 5: Solve for x
    x = 458,762.50/714.41
  6. Step 6: Final answer
    x = 642.16

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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.