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Finding the Fourth Proportional to 524.61, 782.66 and 477.45

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Solution

The fourth proportional to 524.61, 782.66 and 477.45 is: 712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.61 : 782.66 = 477.45 : x
  2. Step 2: Convert to fraction form
    524.61/782.66 = 477.45/x
  3. Step 3: Cross multiply
    524.61x = 782.66 × 477.45
  4. Step 4: Simplify right side
    524.61x = 373,682.21
  5. Step 5: Solve for x
    x = 373,682.21/524.61
  6. Step 6: Final answer
    x = 712.30

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