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Finding the Fourth Proportional to 948.04, 1,421.50 and 370.24

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Solution

The fourth proportional to 948.04, 1,421.50 and 370.24 is: 555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.04 : 1,421.50 = 370.24 : x
  2. Step 2: Convert to fraction form
    948.04/1,421.50 = 370.24/x
  3. Step 3: Cross multiply
    948.04x = 1,421.50 × 370.24
  4. Step 4: Simplify right side
    948.04x = 526,296.16
  5. Step 5: Solve for x
    x = 526,296.16/948.04
  6. Step 6: Final answer
    x = 555.14

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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.