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Finding the Fourth Proportional to 350.30, 524.64 and 307.10

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Solution

The fourth proportional to 350.30, 524.64 and 307.10 is: 459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.30 : 524.64 = 307.10 : x
  2. Step 2: Convert to fraction form
    350.30/524.64 = 307.10/x
  3. Step 3: Cross multiply
    350.30x = 524.64 × 307.10
  4. Step 4: Simplify right side
    350.30x = 161,116.94
  5. Step 5: Solve for x
    x = 161,116.94/350.30
  6. Step 6: Final answer
    x = 459.94

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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.