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Finding the Fourth Proportional to 477.48, 714.24 and 448.32

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Solution

The fourth proportional to 477.48, 714.24 and 448.32 is: 670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.48 : 714.24 = 448.32 : x
  2. Step 2: Convert to fraction form
    477.48/714.24 = 448.32/x
  3. Step 3: Cross multiply
    477.48x = 714.24 × 448.32
  4. Step 4: Simplify right side
    477.48x = 320,208.08
  5. Step 5: Solve for x
    x = 320,208.08/477.48
  6. Step 6: Final answer
    x = 670.62

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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.