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Finding the Fourth Proportional to 653.50, 901.74 and 384.32

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Solution

The fourth proportional to 653.50, 901.74 and 384.32 is: 530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.50 : 901.74 = 384.32 : x
  2. Step 2: Convert to fraction form
    653.50/901.74 = 384.32/x
  3. Step 3: Cross multiply
    653.50x = 901.74 × 384.32
  4. Step 4: Simplify right side
    653.50x = 346,556.72
  5. Step 5: Solve for x
    x = 346,556.72/653.50
  6. Step 6: Final answer
    x = 530.31

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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.