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Finding the Fourth Proportional to 473.90, 706.77 and 465.26

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Solution

The fourth proportional to 473.90, 706.77 and 465.26 is: 693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.90 : 706.77 = 465.26 : x
  2. Step 2: Convert to fraction form
    473.90/706.77 = 465.26/x
  3. Step 3: Cross multiply
    473.90x = 706.77 × 465.26
  4. Step 4: Simplify right side
    473.90x = 328,828.28
  5. Step 5: Solve for x
    x = 328,828.28/473.90
  6. Step 6: Final answer
    x = 693.88

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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.