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Finding the Fourth Proportional to 524.34, 785.52 and 455.04

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Solution

The fourth proportional to 524.34, 785.52 and 455.04 is: 681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 785.52 = 455.04 : x
  2. Step 2: Convert to fraction form
    524.34/785.52 = 455.04/x
  3. Step 3: Cross multiply
    524.34x = 785.52 × 455.04
  4. Step 4: Simplify right side
    524.34x = 357,443.02
  5. Step 5: Solve for x
    x = 357,443.02/524.34
  6. Step 6: Final answer
    x = 681.70

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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.