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Finding the Fourth Proportional to 653.50, 978.88 and 288.55

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Solution

The fourth proportional to 653.50, 978.88 and 288.55 is: 432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.50 : 978.88 = 288.55 : x
  2. Step 2: Convert to fraction form
    653.50/978.88 = 288.55/x
  3. Step 3: Cross multiply
    653.50x = 978.88 × 288.55
  4. Step 4: Simplify right side
    653.50x = 282,455.82
  5. Step 5: Solve for x
    x = 282,455.82/653.50
  6. Step 6: Final answer
    x = 432.22

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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.