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Finding the Fourth Proportional to 653.30, 902 and 529.51

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Solution

The fourth proportional to 653.30, 902 and 529.51 is: 731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.30 : 902 = 529.51 : x
  2. Step 2: Convert to fraction form
    653.30/902 = 529.51/x
  3. Step 3: Cross multiply
    653.30x = 902 × 529.51
  4. Step 4: Simplify right side
    653.30x = 477,613.51
  5. Step 5: Solve for x
    x = 477,613.51/653.30
  6. Step 6: Final answer
    x = 731.08

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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.