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Finding the Fourth Proportional to 476.93, 715.60 and 442.10

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Solution

The fourth proportional to 476.93, 715.60 and 442.10 is: 663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.93 : 715.60 = 442.10 : x
  2. Step 2: Convert to fraction form
    476.93/715.60 = 442.10/x
  3. Step 3: Cross multiply
    476.93x = 715.60 × 442.10
  4. Step 4: Simplify right side
    476.93x = 316,366.76
  5. Step 5: Solve for x
    x = 316,366.76/476.93
  6. Step 6: Final answer
    x = 663.34

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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.