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Finding the Fourth Proportional to 473.05, 707.08 and 410.86

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Solution

The fourth proportional to 473.05, 707.08 and 410.86 is: 614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.05 : 707.08 = 410.86 : x
  2. Step 2: Convert to fraction form
    473.05/707.08 = 410.86/x
  3. Step 3: Cross multiply
    473.05x = 707.08 × 410.86
  4. Step 4: Simplify right side
    473.05x = 290,510.89
  5. Step 5: Solve for x
    x = 290,510.89/473.05
  6. Step 6: Final answer
    x = 614.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.