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Finding the Fourth Proportional to 290.40, 432.54 and 289.08

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Solution

The fourth proportional to 290.40, 432.54 and 289.08 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.40 : 432.54 = 289.08 : x
  2. Step 2: Convert to fraction form
    290.40/432.54 = 289.08/x
  3. Step 3: Cross multiply
    290.40x = 432.54 × 289.08
  4. Step 4: Simplify right side
    290.40x = 125,038.66
  5. Step 5: Solve for x
    x = 125,038.66/290.40
  6. Step 6: Final answer
    x = 430.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.