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Finding the Fourth Proportional to 338.72, 505.58 and 314.64

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Solution

The fourth proportional to 338.72, 505.58 and 314.64 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.72 : 505.58 = 314.64 : x
  2. Step 2: Convert to fraction form
    338.72/505.58 = 314.64/x
  3. Step 3: Cross multiply
    338.72x = 505.58 × 314.64
  4. Step 4: Simplify right side
    338.72x = 159,075.89
  5. Step 5: Solve for x
    x = 159,075.89/338.72
  6. Step 6: Final answer
    x = 469.65

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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.