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Finding the Fourth Proportional to 314.58, 468.62 and 305.02

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Solution

The fourth proportional to 314.58, 468.62 and 305.02 is: 454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.58 : 468.62 = 305.02 : x
  2. Step 2: Convert to fraction form
    314.58/468.62 = 305.02/x
  3. Step 3: Cross multiply
    314.58x = 468.62 × 305.02
  4. Step 4: Simplify right side
    314.58x = 142,938.47
  5. Step 5: Solve for x
    x = 142,938.47/314.58
  6. Step 6: Final answer
    x = 454.38

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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.