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Finding the Fourth Proportional to 524.34, 786.29 and 442.13

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Solution

The fourth proportional to 524.34, 786.29 and 442.13 is: 663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 786.29 = 442.13 : x
  2. Step 2: Convert to fraction form
    524.34/786.29 = 442.13/x
  3. Step 3: Cross multiply
    524.34x = 786.29 × 442.13
  4. Step 4: Simplify right side
    524.34x = 347,636.26
  5. Step 5: Solve for x
    x = 347,636.26/524.34
  6. Step 6: Final answer
    x = 663.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.