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Finding the Fourth Proportional to 477.51, 715.19 and 257.76

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Solution

The fourth proportional to 477.51, 715.19 and 257.76 is: 386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.51 : 715.19 = 257.76 : x
  2. Step 2: Convert to fraction form
    477.51/715.19 = 257.76/x
  3. Step 3: Cross multiply
    477.51x = 715.19 × 257.76
  4. Step 4: Simplify right side
    477.51x = 184,342.51
  5. Step 5: Solve for x
    x = 184,342.51/477.51
  6. Step 6: Final answer
    x = 386.05

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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.