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Finding the Fourth Proportional to 314.76, 469.91 and 266.16

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Solution

The fourth proportional to 314.76, 469.91 and 266.16 is: 397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 469.91 = 266.16 : x
  2. Step 2: Convert to fraction form
    314.76/469.91 = 266.16/x
  3. Step 3: Cross multiply
    314.76x = 469.91 × 266.16
  4. Step 4: Simplify right side
    314.76x = 125,069.91
  5. Step 5: Solve for x
    x = 125,069.91/314.76
  6. Step 6: Final answer
    x = 397.35

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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.