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Finding the Fourth Proportional to 477.76, 715.02 and 420.16

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Solution

The fourth proportional to 477.76, 715.02 and 420.16 is: 628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.76 : 715.02 = 420.16 : x
  2. Step 2: Convert to fraction form
    477.76/715.02 = 420.16/x
  3. Step 3: Cross multiply
    477.76x = 715.02 × 420.16
  4. Step 4: Simplify right side
    477.76x = 300,422.80
  5. Step 5: Solve for x
    x = 300,422.80/477.76
  6. Step 6: Final answer
    x = 628.82

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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.