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Finding the Fourth Proportional to 435.60, 653.40 and 416.70

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Solution

The fourth proportional to 435.60, 653.40 and 416.70 is: 625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.60 : 653.40 = 416.70 : x
  2. Step 2: Convert to fraction form
    435.60/653.40 = 416.70/x
  3. Step 3: Cross multiply
    435.60x = 653.40 × 416.70
  4. Step 4: Simplify right side
    435.60x = 272,271.78
  5. Step 5: Solve for x
    x = 272,271.78/435.60
  6. Step 6: Final answer
    x = 625.05

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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.