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Finding the Fourth Proportional to 904.84, 1,357.77 and 417.89

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Solution

The fourth proportional to 904.84, 1,357.77 and 417.89 is: 627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.84 : 1,357.77 = 417.89 : x
  2. Step 2: Convert to fraction form
    904.84/1,357.77 = 417.89/x
  3. Step 3: Cross multiply
    904.84x = 1,357.77 × 417.89
  4. Step 4: Simplify right side
    904.84x = 567,398.51
  5. Step 5: Solve for x
    x = 567,398.51/904.84
  6. Step 6: Final answer
    x = 627.07

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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.