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Finding the Fourth Proportional to 524.16, 786.84 and 417.24

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Solution

The fourth proportional to 524.16, 786.84 and 417.24 is: 626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 786.84 = 417.24 : x
  2. Step 2: Convert to fraction form
    524.16/786.84 = 417.24/x
  3. Step 3: Cross multiply
    524.16x = 786.84 × 417.24
  4. Step 4: Simplify right side
    524.16x = 328,301.12
  5. Step 5: Solve for x
    x = 328,301.12/524.16
  6. Step 6: Final answer
    x = 626.34

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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.