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Finding the Fourth Proportional to 653.05, 900.97 and 417.01

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Solution

The fourth proportional to 653.05, 900.97 and 417.01 is: 575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.05 : 900.97 = 417.01 : x
  2. Step 2: Convert to fraction form
    653.05/900.97 = 417.01/x
  3. Step 3: Cross multiply
    653.05x = 900.97 × 417.01
  4. Step 4: Simplify right side
    653.05x = 375,714.19
  5. Step 5: Solve for x
    x = 375,714.19/653.05
  6. Step 6: Final answer
    x = 575.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.