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Finding the Fourth Proportional to 630.18, 946.36 and 306.18

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Solution

The fourth proportional to 630.18, 946.36 and 306.18 is: 459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.18 : 946.36 = 306.18 : x
  2. Step 2: Convert to fraction form
    630.18/946.36 = 306.18/x
  3. Step 3: Cross multiply
    630.18x = 946.36 × 306.18
  4. Step 4: Simplify right side
    630.18x = 289,756.50
  5. Step 5: Solve for x
    x = 289,756.50/630.18
  6. Step 6: Final answer
    x = 459.80

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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.