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Finding the Fourth Proportional to 306.51, 459.10 and 285.14

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Solution

The fourth proportional to 306.51, 459.10 and 285.14 is: 427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.51 : 459.10 = 285.14 : x
  2. Step 2: Convert to fraction form
    306.51/459.10 = 285.14/x
  3. Step 3: Cross multiply
    306.51x = 459.10 × 285.14
  4. Step 4: Simplify right side
    306.51x = 130,909.28
  5. Step 5: Solve for x
    x = 130,909.28/306.51
  6. Step 6: Final answer
    x = 427.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.