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Finding the Fourth Proportional to 630.90, 946.57 and 306.18

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Solution

The fourth proportional to 630.90, 946.57 and 306.18 is: 459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.90 : 946.57 = 306.18 : x
  2. Step 2: Convert to fraction form
    630.90/946.57 = 306.18/x
  3. Step 3: Cross multiply
    630.90x = 946.57 × 306.18
  4. Step 4: Simplify right side
    630.90x = 289,820.80
  5. Step 5: Solve for x
    x = 289,820.80/630.90
  6. Step 6: Final answer
    x = 459.38

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1.5x scale

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.