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Finding the Fourth Proportional to 630.32, 945.66 and 305.70

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Solution

The fourth proportional to 630.32, 945.66 and 305.70 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.32 : 945.66 = 305.70 : x
  2. Step 2: Convert to fraction form
    630.32/945.66 = 305.70/x
  3. Step 3: Cross multiply
    630.32x = 945.66 × 305.70
  4. Step 4: Simplify right side
    630.32x = 289,088.26
  5. Step 5: Solve for x
    x = 289,088.26/630.32
  6. Step 6: Final answer
    x = 458.64

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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.