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Finding the Fourth Proportional to 477.45, 715.59 and 315.18

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Solution

The fourth proportional to 477.45, 715.59 and 315.18 is: 472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.45 : 715.59 = 315.18 : x
  2. Step 2: Convert to fraction form
    477.45/715.59 = 315.18/x
  3. Step 3: Cross multiply
    477.45x = 715.59 × 315.18
  4. Step 4: Simplify right side
    477.45x = 225,539.66
  5. Step 5: Solve for x
    x = 225,539.66/477.45
  6. Step 6: Final answer
    x = 472.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.