Finding the Fourth Proportional to 288.72, 432.54 and 243
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Solution
The fourth proportional to 288.72, 432.54 and 243 is: 364.05
Step by Step Solution
- Step 1: Write the proportion equation
288.72 : 432.54 = 243 : x - Step 2: Convert to fraction form
288.72/432.54 = 243/x - Step 3: Cross multiply
288.72x = 432.54 × 243 - Step 4: Simplify right side
288.72x = 105,107.22 - Step 5: Solve for x
x = 105,107.22/288.72 - Step 6: Final answer
x = 364.05
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.