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Finding the Fourth Proportional to 455.04, 680.04 and 332.64

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Solution

The fourth proportional to 455.04, 680.04 and 332.64 is: 497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.04 : 680.04 = 332.64 : x
  2. Step 2: Convert to fraction form
    455.04/680.04 = 332.64/x
  3. Step 3: Cross multiply
    455.04x = 680.04 × 332.64
  4. Step 4: Simplify right side
    455.04x = 226,208.51
  5. Step 5: Solve for x
    x = 226,208.51/455.04
  6. Step 6: Final answer
    x = 497.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.