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Finding the Fourth Proportional to 476.55, 715.77 and 419.58

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Solution

The fourth proportional to 476.55, 715.77 and 419.58 is: 630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.55 : 715.77 = 419.58 : x
  2. Step 2: Convert to fraction form
    476.55/715.77 = 419.58/x
  3. Step 3: Cross multiply
    476.55x = 715.77 × 419.58
  4. Step 4: Simplify right side
    476.55x = 300,322.78
  5. Step 5: Solve for x
    x = 300,322.78/476.55
  6. Step 6: Final answer
    x = 630.20

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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.