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Finding the Fourth Proportional to 469.75, 706.14 and 435.93

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Solution

The fourth proportional to 469.75, 706.14 and 435.93 is: 655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.75 : 706.14 = 435.93 : x
  2. Step 2: Convert to fraction form
    469.75/706.14 = 435.93/x
  3. Step 3: Cross multiply
    469.75x = 706.14 × 435.93
  4. Step 4: Simplify right side
    469.75x = 307,821.90
  5. Step 5: Solve for x
    x = 307,821.90/469.75
  6. Step 6: Final answer
    x = 655.30

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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.