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Finding the Fourth Proportional to 459.32, 688.32 and 410.48

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Solution

The fourth proportional to 459.32, 688.32 and 410.48 is: 615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.32 : 688.32 = 410.48 : x
  2. Step 2: Convert to fraction form
    459.32/688.32 = 410.48/x
  3. Step 3: Cross multiply
    459.32x = 688.32 × 410.48
  4. Step 4: Simplify right side
    459.32x = 282,541.59
  5. Step 5: Solve for x
    x = 282,541.59/459.32
  6. Step 6: Final answer
    x = 615.13

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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.