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Finding the Fourth Proportional to 524.11, 786.98 and 476.32

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Solution

The fourth proportional to 524.11, 786.98 and 476.32 is: 715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.11 : 786.98 = 476.32 : x
  2. Step 2: Convert to fraction form
    524.11/786.98 = 476.32/x
  3. Step 3: Cross multiply
    524.11x = 786.98 × 476.32
  4. Step 4: Simplify right side
    524.11x = 374,851.93
  5. Step 5: Solve for x
    x = 374,851.93/524.11
  6. Step 6: Final answer
    x = 715.22

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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.