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Finding the Fourth Proportional to 477.09, 714.59 and 465.47

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Solution

The fourth proportional to 477.09, 714.59 and 465.47 is: 697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.09 : 714.59 = 465.47 : x
  2. Step 2: Convert to fraction form
    477.09/714.59 = 465.47/x
  3. Step 3: Cross multiply
    477.09x = 714.59 × 465.47
  4. Step 4: Simplify right side
    477.09x = 332,620.21
  5. Step 5: Solve for x
    x = 332,620.21/477.09
  6. Step 6: Final answer
    x = 697.19

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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.