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Finding the Fourth Proportional to 522.53, 783.40 and 317.04

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Solution

The fourth proportional to 522.53, 783.40 and 317.04 is: 475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.53 : 783.40 = 317.04 : x
  2. Step 2: Convert to fraction form
    522.53/783.40 = 317.04/x
  3. Step 3: Cross multiply
    522.53x = 783.40 × 317.04
  4. Step 4: Simplify right side
    522.53x = 248,369.14
  5. Step 5: Solve for x
    x = 248,369.14/522.53
  6. Step 6: Final answer
    x = 475.32

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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.