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Finding the Fourth Proportional to 653.04, 900 and 419.76

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Solution

The fourth proportional to 653.04, 900 and 419.76 is: 578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 900 = 419.76 : x
  2. Step 2: Convert to fraction form
    653.04/900 = 419.76/x
  3. Step 3: Cross multiply
    653.04x = 900 × 419.76
  4. Step 4: Simplify right side
    653.04x = 377,784
  5. Step 5: Solve for x
    x = 377,784/653.04
  6. Step 6: Final answer
    x = 578.50

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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.