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Finding the Fourth Proportional to 507.64, 760.64 and 459.04

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Solution

The fourth proportional to 507.64, 760.64 and 459.04 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 760.64 = 459.04 : x
  2. Step 2: Convert to fraction form
    507.64/760.64 = 459.04/x
  3. Step 3: Cross multiply
    507.64x = 760.64 × 459.04
  4. Step 4: Simplify right side
    507.64x = 349,164.19
  5. Step 5: Solve for x
    x = 349,164.19/507.64
  6. Step 6: Final answer
    x = 687.82

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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.