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Finding the Fourth Proportional to 623.90, 933.07 and 468.11

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Solution

The fourth proportional to 623.90, 933.07 and 468.11 is: 700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.90 : 933.07 = 468.11 : x
  2. Step 2: Convert to fraction form
    623.90/933.07 = 468.11/x
  3. Step 3: Cross multiply
    623.90x = 933.07 × 468.11
  4. Step 4: Simplify right side
    623.90x = 436,779.40
  5. Step 5: Solve for x
    x = 436,779.40/623.90
  6. Step 6: Final answer
    x = 700.08

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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.