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Finding the Fourth Proportional to 652.84, 900.54 and 416.71

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Solution

The fourth proportional to 652.84, 900.54 and 416.71 is: 574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.84 : 900.54 = 416.71 : x
  2. Step 2: Convert to fraction form
    652.84/900.54 = 416.71/x
  3. Step 3: Cross multiply
    652.84x = 900.54 × 416.71
  4. Step 4: Simplify right side
    652.84x = 375,264.02
  5. Step 5: Solve for x
    x = 375,264.02/652.84
  6. Step 6: Final answer
    x = 574.82

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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.