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Finding the Fourth Proportional to 899.48, 1,348.95 and 405.58

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Solution

The fourth proportional to 899.48, 1,348.95 and 405.58 is: 608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.48 : 1,348.95 = 405.58 : x
  2. Step 2: Convert to fraction form
    899.48/1,348.95 = 405.58/x
  3. Step 3: Cross multiply
    899.48x = 1,348.95 × 405.58
  4. Step 4: Simplify right side
    899.48x = 547,111.61
  5. Step 5: Solve for x
    x = 547,111.61/899.48
  6. Step 6: Final answer
    x = 608.25

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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.