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Finding the Fourth Proportional to 630.68, 946.06 and 305.16

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Solution

The fourth proportional to 630.68, 946.06 and 305.16 is: 457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.68 : 946.06 = 305.16 : x
  2. Step 2: Convert to fraction form
    630.68/946.06 = 305.16/x
  3. Step 3: Cross multiply
    630.68x = 946.06 × 305.16
  4. Step 4: Simplify right side
    630.68x = 288,699.67
  5. Step 5: Solve for x
    x = 288,699.67/630.68
  6. Step 6: Final answer
    x = 457.76

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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.