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Finding the Fourth Proportional to 520.16, 718.08 and 345.60

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Solution

The fourth proportional to 520.16, 718.08 and 345.60 is: 477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 718.08 = 345.60 : x
  2. Step 2: Convert to fraction form
    520.16/718.08 = 345.60/x
  3. Step 3: Cross multiply
    520.16x = 718.08 × 345.60
  4. Step 4: Simplify right side
    520.16x = 248,168.45
  5. Step 5: Solve for x
    x = 248,168.45/520.16
  6. Step 6: Final answer
    x = 477.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.