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Finding the Fourth Proportional to 476.98, 715.48 and 257.77

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Solution

The fourth proportional to 476.98, 715.48 and 257.77 is: 386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.98 : 715.48 = 257.77 : x
  2. Step 2: Convert to fraction form
    476.98/715.48 = 257.77/x
  3. Step 3: Cross multiply
    476.98x = 715.48 × 257.77
  4. Step 4: Simplify right side
    476.98x = 184,432.99
  5. Step 5: Solve for x
    x = 184,432.99/476.98
  6. Step 6: Final answer
    x = 386.67

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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.