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Finding the Fourth Proportional to 473.04, 706.58 and 317.68

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Solution

The fourth proportional to 473.04, 706.58 and 317.68 is: 474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.04 : 706.58 = 317.68 : x
  2. Step 2: Convert to fraction form
    473.04/706.58 = 317.68/x
  3. Step 3: Cross multiply
    473.04x = 706.58 × 317.68
  4. Step 4: Simplify right side
    473.04x = 224,466.33
  5. Step 5: Solve for x
    x = 224,466.33/473.04
  6. Step 6: Final answer
    x = 474.52

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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.