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Finding the Fourth Proportional to 317.36, 473.84 and 306.16

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Solution

The fourth proportional to 317.36, 473.84 and 306.16 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.36 : 473.84 = 306.16 : x
  2. Step 2: Convert to fraction form
    317.36/473.84 = 306.16/x
  3. Step 3: Cross multiply
    317.36x = 473.84 × 306.16
  4. Step 4: Simplify right side
    317.36x = 145,070.85
  5. Step 5: Solve for x
    x = 145,070.85/317.36
  6. Step 6: Final answer
    x = 457.12

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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.