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Finding the Fourth Proportional to 524.94, 783.24 and 476.34

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Solution

The fourth proportional to 524.94, 783.24 and 476.34 is: 710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 783.24 = 476.34 : x
  2. Step 2: Convert to fraction form
    524.94/783.24 = 476.34/x
  3. Step 3: Cross multiply
    524.94x = 783.24 × 476.34
  4. Step 4: Simplify right side
    524.94x = 373,088.54
  5. Step 5: Solve for x
    x = 373,088.54/524.94
  6. Step 6: Final answer
    x = 710.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.